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Finding the Third Proportional to 20,229.75 and 22,345.88

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Solution

The third proportional to 20,229.75 and 22,345.88 is: 24,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 22,345.88 = 22,345.88 : x
  2. Step 2: Convert to fraction form
    20,229.75/22,345.88 = 22,345.88/x
  3. Step 3: Cross multiply
    20,229.75x = 22,345.88 × 22,345.88
  4. Step 4: Simplify right side
    20,229.75x = 499,338,129.52
  5. Step 5: Solve for x
    x = 499,338,129.52/20,229.75
  6. Step 6: Final answer
    x = 24,683.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.