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Finding the Third Proportional to 10,951 and 24,089

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Solution

The third proportional to 10,951 and 24,089 is: 52,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951 : 24,089 = 24,089 : x
  2. Step 2: Convert to fraction form
    10,951/24,089 = 24,089/x
  3. Step 3: Cross multiply
    10,951x = 24,089 × 24,089
  4. Step 4: Simplify right side
    10,951x = 580,279,921
  5. Step 5: Solve for x
    x = 580,279,921/10,951
  6. Step 6: Final answer
    x = 52,988.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.