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Finding the Third Proportional to 38,377.50 and 53,737.50

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Solution

The third proportional to 38,377.50 and 53,737.50 is: 75,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,377.50 : 53,737.50 = 53,737.50 : x
  2. Step 2: Convert to fraction form
    38,377.50/53,737.50 = 53,737.50/x
  3. Step 3: Cross multiply
    38,377.50x = 53,737.50 × 53,737.50
  4. Step 4: Simplify right side
    38,377.50x = 2,887,718,906.25
  5. Step 5: Solve for x
    x = 2,887,718,906.25/38,377.50
  6. Step 6: Final answer
    x = 75,245.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.