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Finding the Third Proportional to 22,002 and 47,739

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Solution

The third proportional to 22,002 and 47,739 is: 103,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 47,739 = 47,739 : x
  2. Step 2: Convert to fraction form
    22,002/47,739 = 47,739/x
  3. Step 3: Cross multiply
    22,002x = 47,739 × 47,739
  4. Step 4: Simplify right side
    22,002x = 2,279,012,121
  5. Step 5: Solve for x
    x = 2,279,012,121/22,002
  6. Step 6: Final answer
    x = 103,582.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.