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Finding the Third Proportional to 38,666 and 58,539

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Solution

The third proportional to 38,666 and 58,539 is: 88,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 58,539 = 58,539 : x
  2. Step 2: Convert to fraction form
    38,666/58,539 = 58,539/x
  3. Step 3: Cross multiply
    38,666x = 58,539 × 58,539
  4. Step 4: Simplify right side
    38,666x = 3,426,814,521
  5. Step 5: Solve for x
    x = 3,426,814,521/38,666
  6. Step 6: Final answer
    x = 88,626.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.