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Finding the Third Proportional to 7,991 and 12,510

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Solution

The third proportional to 7,991 and 12,510 is: 19,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991 : 12,510 = 12,510 : x
  2. Step 2: Convert to fraction form
    7,991/12,510 = 12,510/x
  3. Step 3: Cross multiply
    7,991x = 12,510 × 12,510
  4. Step 4: Simplify right side
    7,991x = 156,500,100
  5. Step 5: Solve for x
    x = 156,500,100/7,991
  6. Step 6: Final answer
    x = 19,584.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.