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Finding the Third Proportional to 18,186.19 and 39,241.13

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Solution

The third proportional to 18,186.19 and 39,241.13 is: 84,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.19 : 39,241.13 = 39,241.13 : x
  2. Step 2: Convert to fraction form
    18,186.19/39,241.13 = 39,241.13/x
  3. Step 3: Cross multiply
    18,186.19x = 39,241.13 × 39,241.13
  4. Step 4: Simplify right side
    18,186.19x = 1,539,865,891.27
  5. Step 5: Solve for x
    x = 1,539,865,891.27/18,186.19
  6. Step 6: Final answer
    x = 84,672.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.