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Finding the Third Proportional to 22,518 and 47,805.19

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Solution

The third proportional to 22,518 and 47,805.19 is: 101,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 47,805.19 = 47,805.19 : x
  2. Step 2: Convert to fraction form
    22,518/47,805.19 = 47,805.19/x
  3. Step 3: Cross multiply
    22,518x = 47,805.19 × 47,805.19
  4. Step 4: Simplify right side
    22,518x = 2,285,335,951.91
  5. Step 5: Solve for x
    x = 2,285,335,951.91/22,518
  6. Step 6: Final answer
    x = 101,489.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.