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Finding the Third Proportional to 9,910.69 and 15,472.69

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Solution

The third proportional to 9,910.69 and 15,472.69 is: 24,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.69 : 15,472.69 = 15,472.69 : x
  2. Step 2: Convert to fraction form
    9,910.69/15,472.69 = 15,472.69/x
  3. Step 3: Cross multiply
    9,910.69x = 15,472.69 × 15,472.69
  4. Step 4: Simplify right side
    9,910.69x = 239,404,058.47
  5. Step 5: Solve for x
    x = 239,404,058.47/9,910.69
  6. Step 6: Final answer
    x = 24,156.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.