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Finding the Third Proportional to 9,882 and 12,837

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Solution

The third proportional to 9,882 and 12,837 is: 16,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 12,837 = 12,837 : x
  2. Step 2: Convert to fraction form
    9,882/12,837 = 12,837/x
  3. Step 3: Cross multiply
    9,882x = 12,837 × 12,837
  4. Step 4: Simplify right side
    9,882x = 164,788,569
  5. Step 5: Solve for x
    x = 164,788,569/9,882
  6. Step 6: Final answer
    x = 16,675.63

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.