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Finding the Third Proportional to 38,115 and 59,248.50

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Solution

The third proportional to 38,115 and 59,248.50 is: 92,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 59,248.50 = 59,248.50 : x
  2. Step 2: Convert to fraction form
    38,115/59,248.50 = 59,248.50/x
  3. Step 3: Cross multiply
    38,115x = 59,248.50 × 59,248.50
  4. Step 4: Simplify right side
    38,115x = 3,510,384,752.25
  5. Step 5: Solve for x
    x = 3,510,384,752.25/38,115
  6. Step 6: Final answer
    x = 92,099.82

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