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Finding the Third Proportional to 38,558 and 60,499

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Solution

The third proportional to 38,558 and 60,499 is: 94,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,558 : 60,499 = 60,499 : x
  2. Step 2: Convert to fraction form
    38,558/60,499 = 60,499/x
  3. Step 3: Cross multiply
    38,558x = 60,499 × 60,499
  4. Step 4: Simplify right side
    38,558x = 3,660,129,001
  5. Step 5: Solve for x
    x = 3,660,129,001/38,558
  6. Step 6: Final answer
    x = 94,925.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.