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Finding the Third Proportional to 9,716.56 and 15,468.65

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Solution

The third proportional to 9,716.56 and 15,468.65 is: 24,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.56 : 15,468.65 = 15,468.65 : x
  2. Step 2: Convert to fraction form
    9,716.56/15,468.65 = 15,468.65/x
  3. Step 3: Cross multiply
    9,716.56x = 15,468.65 × 15,468.65
  4. Step 4: Simplify right side
    9,716.56x = 239,279,031.61
  5. Step 5: Solve for x
    x = 239,279,031.61/9,716.56
  6. Step 6: Final answer
    x = 24,625.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.