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Finding the Third Proportional to 39,264 and 85,862

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Solution

The third proportional to 39,264 and 85,862 is: 187,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,264 : 85,862 = 85,862 : x
  2. Step 2: Convert to fraction form
    39,264/85,862 = 85,862/x
  3. Step 3: Cross multiply
    39,264x = 85,862 × 85,862
  4. Step 4: Simplify right side
    39,264x = 7,372,283,044
  5. Step 5: Solve for x
    x = 7,372,283,044/39,264
  6. Step 6: Final answer
    x = 187,761.89

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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.