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Finding the Third Proportional to 39,024 and 85,481

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Solution

The third proportional to 39,024 and 85,481 is: 187,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 85,481 = 85,481 : x
  2. Step 2: Convert to fraction form
    39,024/85,481 = 85,481/x
  3. Step 3: Cross multiply
    39,024x = 85,481 × 85,481
  4. Step 4: Simplify right side
    39,024x = 7,307,001,361
  5. Step 5: Solve for x
    x = 7,307,001,361/39,024
  6. Step 6: Final answer
    x = 187,243.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.