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Finding the Third Proportional to 10,972 and 24,130

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Solution

The third proportional to 10,972 and 24,130 is: 53,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 24,130 = 24,130 : x
  2. Step 2: Convert to fraction form
    10,972/24,130 = 24,130/x
  3. Step 3: Cross multiply
    10,972x = 24,130 × 24,130
  4. Step 4: Simplify right side
    10,972x = 582,256,900
  5. Step 5: Solve for x
    x = 582,256,900/10,972
  6. Step 6: Final answer
    x = 53,067.53

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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.