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Finding the Third Proportional to 9,781 and 20,774

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Solution

The third proportional to 9,781 and 20,774 is: 44,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781 : 20,774 = 20,774 : x
  2. Step 2: Convert to fraction form
    9,781/20,774 = 20,774/x
  3. Step 3: Cross multiply
    9,781x = 20,774 × 20,774
  4. Step 4: Simplify right side
    9,781x = 431,559,076
  5. Step 5: Solve for x
    x = 431,559,076/9,781
  6. Step 6: Final answer
    x = 44,122.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.