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Finding the Third Proportional to 39,032 and 85,498

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Solution

The third proportional to 39,032 and 85,498 is: 187,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,032 : 85,498 = 85,498 : x
  2. Step 2: Convert to fraction form
    39,032/85,498 = 85,498/x
  3. Step 3: Cross multiply
    39,032x = 85,498 × 85,498
  4. Step 4: Simplify right side
    39,032x = 7,309,908,004
  5. Step 5: Solve for x
    x = 7,309,908,004/39,032
  6. Step 6: Final answer
    x = 187,279.87

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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.