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Finding the Third Proportional to 9,767 and 12,571

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Solution

The third proportional to 9,767 and 12,571 is: 16,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 12,571 = 12,571 : x
  2. Step 2: Convert to fraction form
    9,767/12,571 = 12,571/x
  3. Step 3: Cross multiply
    9,767x = 12,571 × 12,571
  4. Step 4: Simplify right side
    9,767x = 158,030,041
  5. Step 5: Solve for x
    x = 158,030,041/9,767
  6. Step 6: Final answer
    x = 16,180.00

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.