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Finding the Third Proportional to 9,720 and 11,151

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Solution

The third proportional to 9,720 and 11,151 is: 12,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 11,151 = 11,151 : x
  2. Step 2: Convert to fraction form
    9,720/11,151 = 11,151/x
  3. Step 3: Cross multiply
    9,720x = 11,151 × 11,151
  4. Step 4: Simplify right side
    9,720x = 124,344,801
  5. Step 5: Solve for x
    x = 124,344,801/9,720
  6. Step 6: Final answer
    x = 12,792.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.