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Finding the Third Proportional to 25,260.75 and 38,658.38

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Solution

The third proportional to 25,260.75 and 38,658.38 is: 59,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,260.75 : 38,658.38 = 38,658.38 : x
  2. Step 2: Convert to fraction form
    25,260.75/38,658.38 = 38,658.38/x
  3. Step 3: Cross multiply
    25,260.75x = 38,658.38 × 38,658.38
  4. Step 4: Simplify right side
    25,260.75x = 1,494,469,957.64
  5. Step 5: Solve for x
    x = 1,494,469,957.64/25,260.75
  6. Step 6: Final answer
    x = 59,161.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.