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Finding the Third Proportional to 9,745 and 20,785

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Solution

The third proportional to 9,745 and 20,785 is: 44,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 20,785 = 20,785 : x
  2. Step 2: Convert to fraction form
    9,745/20,785 = 20,785/x
  3. Step 3: Cross multiply
    9,745x = 20,785 × 20,785
  4. Step 4: Simplify right side
    9,745x = 432,016,225
  5. Step 5: Solve for x
    x = 432,016,225/9,745
  6. Step 6: Final answer
    x = 44,332.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.