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Finding the Third Proportional to 20,229.75 and 27,631.13

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Solution

The third proportional to 20,229.75 and 27,631.13 is: 37,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 27,631.13 = 27,631.13 : x
  2. Step 2: Convert to fraction form
    20,229.75/27,631.13 = 27,631.13/x
  3. Step 3: Cross multiply
    20,229.75x = 27,631.13 × 27,631.13
  4. Step 4: Simplify right side
    20,229.75x = 763,479,068.77
  5. Step 5: Solve for x
    x = 763,479,068.77/20,229.75
  6. Step 6: Final answer
    x = 37,740.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.