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Finding the Third Proportional to 8,940 and 20,785

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Solution

The third proportional to 8,940 and 20,785 is: 48,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940 : 20,785 = 20,785 : x
  2. Step 2: Convert to fraction form
    8,940/20,785 = 20,785/x
  3. Step 3: Cross multiply
    8,940x = 20,785 × 20,785
  4. Step 4: Simplify right side
    8,940x = 432,016,225
  5. Step 5: Solve for x
    x = 432,016,225/8,940
  6. Step 6: Final answer
    x = 48,323.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.