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Finding the Third Proportional to 11,432 and 24,670

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Solution

The third proportional to 11,432 and 24,670 is: 53,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432 : 24,670 = 24,670 : x
  2. Step 2: Convert to fraction form
    11,432/24,670 = 24,670/x
  3. Step 3: Cross multiply
    11,432x = 24,670 × 24,670
  4. Step 4: Simplify right side
    11,432x = 608,608,900
  5. Step 5: Solve for x
    x = 608,608,900/11,432
  6. Step 6: Final answer
    x = 53,237.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.