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Finding the Third Proportional to 20,472.75 and 29,585.25

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Solution

The third proportional to 20,472.75 and 29,585.25 is: 42,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.75 : 29,585.25 = 29,585.25 : x
  2. Step 2: Convert to fraction form
    20,472.75/29,585.25 = 29,585.25/x
  3. Step 3: Cross multiply
    20,472.75x = 29,585.25 × 29,585.25
  4. Step 4: Simplify right side
    20,472.75x = 875,287,017.56
  5. Step 5: Solve for x
    x = 875,287,017.56/20,472.75
  6. Step 6: Final answer
    x = 42,753.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.