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Finding the Third Proportional to 8,948.53 and 20,217.52

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Solution

The third proportional to 8,948.53 and 20,217.52 is: 45,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.53 : 20,217.52 = 20,217.52 : x
  2. Step 2: Convert to fraction form
    8,948.53/20,217.52 = 20,217.52/x
  3. Step 3: Cross multiply
    8,948.53x = 20,217.52 × 20,217.52
  4. Step 4: Simplify right side
    8,948.53x = 408,747,938.05
  5. Step 5: Solve for x
    x = 408,747,938.05/8,948.53
  6. Step 6: Final answer
    x = 45,677.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.