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Finding the Third Proportional to 38,056 and 58,566

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Solution

The third proportional to 38,056 and 58,566 is: 90,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056 : 58,566 = 58,566 : x
  2. Step 2: Convert to fraction form
    38,056/58,566 = 58,566/x
  3. Step 3: Cross multiply
    38,056x = 58,566 × 58,566
  4. Step 4: Simplify right side
    38,056x = 3,429,976,356
  5. Step 5: Solve for x
    x = 3,429,976,356/38,056
  6. Step 6: Final answer
    x = 90,129.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.