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Finding the Third Proportional to 7,750 and 11,995

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Solution

The third proportional to 7,750 and 11,995 is: 18,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750 : 11,995 = 11,995 : x
  2. Step 2: Convert to fraction form
    7,750/11,995 = 11,995/x
  3. Step 3: Cross multiply
    7,750x = 11,995 × 11,995
  4. Step 4: Simplify right side
    7,750x = 143,880,025
  5. Step 5: Solve for x
    x = 143,880,025/7,750
  6. Step 6: Final answer
    x = 18,565.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.