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Finding the Third Proportional to 39,699.13 and 85,154.31

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Solution

The third proportional to 39,699.13 and 85,154.31 is: 182,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,699.13 : 85,154.31 = 85,154.31 : x
  2. Step 2: Convert to fraction form
    39,699.13/85,154.31 = 85,154.31/x
  3. Step 3: Cross multiply
    39,699.13x = 85,154.31 × 85,154.31
  4. Step 4: Simplify right side
    39,699.13x = 7,251,256,937.35
  5. Step 5: Solve for x
    x = 7,251,256,937.35/39,699.13
  6. Step 6: Final answer
    x = 182,655.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.