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Finding the Third Proportional to 17,727.19 and 36,340.31

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Solution

The third proportional to 17,727.19 and 36,340.31 is: 74,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.19 : 36,340.31 = 36,340.31 : x
  2. Step 2: Convert to fraction form
    17,727.19/36,340.31 = 36,340.31/x
  3. Step 3: Cross multiply
    17,727.19x = 36,340.31 × 36,340.31
  4. Step 4: Simplify right side
    17,727.19x = 1,320,618,312.60
  5. Step 5: Solve for x
    x = 1,320,618,312.60/17,727.19
  6. Step 6: Final answer
    x = 74,496.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.