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Finding the Third Proportional to 22,899 and 47,022

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Solution

The third proportional to 22,899 and 47,022 is: 96,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899 : 47,022 = 47,022 : x
  2. Step 2: Convert to fraction form
    22,899/47,022 = 47,022/x
  3. Step 3: Cross multiply
    22,899x = 47,022 × 47,022
  4. Step 4: Simplify right side
    22,899x = 2,211,068,484
  5. Step 5: Solve for x
    x = 2,211,068,484/22,899
  6. Step 6: Final answer
    x = 96,557.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.