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Finding the Third Proportional to 9,792 and 10,791

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Solution

The third proportional to 9,792 and 10,791 is: 11,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 10,791 = 10,791 : x
  2. Step 2: Convert to fraction form
    9,792/10,791 = 10,791/x
  3. Step 3: Cross multiply
    9,792x = 10,791 × 10,791
  4. Step 4: Simplify right side
    9,792x = 116,445,681
  5. Step 5: Solve for x
    x = 116,445,681/9,792
  6. Step 6: Final answer
    x = 11,891.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.