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Finding the Third Proportional to 39,781.13 and 45,613.13

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Solution

The third proportional to 39,781.13 and 45,613.13 is: 52,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781.13 : 45,613.13 = 45,613.13 : x
  2. Step 2: Convert to fraction form
    39,781.13/45,613.13 = 45,613.13/x
  3. Step 3: Cross multiply
    39,781.13x = 45,613.13 × 45,613.13
  4. Step 4: Simplify right side
    39,781.13x = 2,080,557,172.27
  5. Step 5: Solve for x
    x = 2,080,557,172.27/39,781.13
  6. Step 6: Final answer
    x = 52,300.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.