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Finding the Third Proportional to 9,742 and 20,781

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Solution

The third proportional to 9,742 and 20,781 is: 44,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 20,781 = 20,781 : x
  2. Step 2: Convert to fraction form
    9,742/20,781 = 20,781/x
  3. Step 3: Cross multiply
    9,742x = 20,781 × 20,781
  4. Step 4: Simplify right side
    9,742x = 431,849,961
  5. Step 5: Solve for x
    x = 431,849,961/9,742
  6. Step 6: Final answer
    x = 44,328.68

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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.