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Finding the Third Proportional to 25,153.50 and 38,338.50

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Solution

The third proportional to 25,153.50 and 38,338.50 is: 58,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.50 : 38,338.50 = 38,338.50 : x
  2. Step 2: Convert to fraction form
    25,153.50/38,338.50 = 38,338.50/x
  3. Step 3: Cross multiply
    25,153.50x = 38,338.50 × 38,338.50
  4. Step 4: Simplify right side
    25,153.50x = 1,469,840,582.25
  5. Step 5: Solve for x
    x = 1,469,840,582.25/25,153.50
  6. Step 6: Final answer
    x = 58,434.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.