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Finding the Third Proportional to 9,488.25 and 15,244.88

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Solution

The third proportional to 9,488.25 and 15,244.88 is: 24,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.25 : 15,244.88 = 15,244.88 : x
  2. Step 2: Convert to fraction form
    9,488.25/15,244.88 = 15,244.88/x
  3. Step 3: Cross multiply
    9,488.25x = 15,244.88 × 15,244.88
  4. Step 4: Simplify right side
    9,488.25x = 232,406,213.77
  5. Step 5: Solve for x
    x = 232,406,213.77/9,488.25
  6. Step 6: Final answer
    x = 24,494.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.