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Finding the Third Proportional to 4,306.61 and 9,251.09

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Solution

The third proportional to 4,306.61 and 9,251.09 is: 19,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.61 : 9,251.09 = 9,251.09 : x
  2. Step 2: Convert to fraction form
    4,306.61/9,251.09 = 9,251.09/x
  3. Step 3: Cross multiply
    4,306.61x = 9,251.09 × 9,251.09
  4. Step 4: Simplify right side
    4,306.61x = 85,582,591.02
  5. Step 5: Solve for x
    x = 85,582,591.02/4,306.61
  6. Step 6: Final answer
    x = 19,872.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.