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Finding the Third Proportional to 38,737.13 and 59,856.75

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Solution

The third proportional to 38,737.13 and 59,856.75 is: 92,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,737.13 : 59,856.75 = 59,856.75 : x
  2. Step 2: Convert to fraction form
    38,737.13/59,856.75 = 59,856.75/x
  3. Step 3: Cross multiply
    38,737.13x = 59,856.75 × 59,856.75
  4. Step 4: Simplify right side
    38,737.13x = 3,582,830,520.56
  5. Step 5: Solve for x
    x = 3,582,830,520.56/38,737.13
  6. Step 6: Final answer
    x = 92,490.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.