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Finding the Third Proportional to 24,737 and 55,012

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Solution

The third proportional to 24,737 and 55,012 is: 122,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737 : 55,012 = 55,012 : x
  2. Step 2: Convert to fraction form
    24,737/55,012 = 55,012/x
  3. Step 3: Cross multiply
    24,737x = 55,012 × 55,012
  4. Step 4: Simplify right side
    24,737x = 3,026,320,144
  5. Step 5: Solve for x
    x = 3,026,320,144/24,737
  6. Step 6: Final answer
    x = 122,339.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.