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Finding the Third Proportional to 30,496.50 and 66,354.19

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Solution

The third proportional to 30,496.50 and 66,354.19 is: 144,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.50 : 66,354.19 = 66,354.19 : x
  2. Step 2: Convert to fraction form
    30,496.50/66,354.19 = 66,354.19/x
  3. Step 3: Cross multiply
    30,496.50x = 66,354.19 × 66,354.19
  4. Step 4: Simplify right side
    30,496.50x = 4,402,878,198.79
  5. Step 5: Solve for x
    x = 4,402,878,198.79/30,496.50
  6. Step 6: Final answer
    x = 144,373.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.