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Finding the Third Proportional to 35,503.13 and 76,542.38

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Solution

The third proportional to 35,503.13 and 76,542.38 is: 165,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,503.13 : 76,542.38 = 76,542.38 : x
  2. Step 2: Convert to fraction form
    35,503.13/76,542.38 = 76,542.38/x
  3. Step 3: Cross multiply
    35,503.13x = 76,542.38 × 76,542.38
  4. Step 4: Simplify right side
    35,503.13x = 5,858,735,170.64
  5. Step 5: Solve for x
    x = 5,858,735,170.64/35,503.13
  6. Step 6: Final answer
    x = 165,020.27

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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.