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Finding the Third Proportional to 10,269.38 and 15,839.44

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Solution

The third proportional to 10,269.38 and 15,839.44 is: 24,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.38 : 15,839.44 = 15,839.44 : x
  2. Step 2: Convert to fraction form
    10,269.38/15,839.44 = 15,839.44/x
  3. Step 3: Cross multiply
    10,269.38x = 15,839.44 × 15,839.44
  4. Step 4: Simplify right side
    10,269.38x = 250,887,780.32
  5. Step 5: Solve for x
    x = 250,887,780.32/10,269.38
  6. Step 6: Final answer
    x = 24,430.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.