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Finding the Third Proportional to 15,294.75 and 22,350.38

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Solution

The third proportional to 15,294.75 and 22,350.38 is: 32,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.75 : 22,350.38 = 22,350.38 : x
  2. Step 2: Convert to fraction form
    15,294.75/22,350.38 = 22,350.38/x
  3. Step 3: Cross multiply
    15,294.75x = 22,350.38 × 22,350.38
  4. Step 4: Simplify right side
    15,294.75x = 499,539,262.64
  5. Step 5: Solve for x
    x = 499,539,262.64/15,294.75
  6. Step 6: Final answer
    x = 32,660.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.