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Finding the Third Proportional to 10,251.56 and 22,348.41

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Solution

The third proportional to 10,251.56 and 22,348.41 is: 48,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.56 : 22,348.41 = 22,348.41 : x
  2. Step 2: Convert to fraction form
    10,251.56/22,348.41 = 22,348.41/x
  3. Step 3: Cross multiply
    10,251.56x = 22,348.41 × 22,348.41
  4. Step 4: Simplify right side
    10,251.56x = 499,451,261.92
  5. Step 5: Solve for x
    x = 499,451,261.92/10,251.56
  6. Step 6: Final answer
    x = 48,719.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.