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Finding the Third Proportional to 39,866 and 83,862

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Solution

The third proportional to 39,866 and 83,862 is: 176,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 83,862 = 83,862 : x
  2. Step 2: Convert to fraction form
    39,866/83,862 = 83,862/x
  3. Step 3: Cross multiply
    39,866x = 83,862 × 83,862
  4. Step 4: Simplify right side
    39,866x = 7,032,835,044
  5. Step 5: Solve for x
    x = 7,032,835,044/39,866
  6. Step 6: Final answer
    x = 176,411.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.