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Finding the Third Proportional to 9,100 and 12,882

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Solution

The third proportional to 9,100 and 12,882 is: 18,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100 : 12,882 = 12,882 : x
  2. Step 2: Convert to fraction form
    9,100/12,882 = 12,882/x
  3. Step 3: Cross multiply
    9,100x = 12,882 × 12,882
  4. Step 4: Simplify right side
    9,100x = 165,945,924
  5. Step 5: Solve for x
    x = 165,945,924/9,100
  6. Step 6: Final answer
    x = 18,235.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.