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Finding the Third Proportional to 6,306.75 and 8,952.75

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Solution

The third proportional to 6,306.75 and 8,952.75 is: 12,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.75 : 8,952.75 = 8,952.75 : x
  2. Step 2: Convert to fraction form
    6,306.75/8,952.75 = 8,952.75/x
  3. Step 3: Cross multiply
    6,306.75x = 8,952.75 × 8,952.75
  4. Step 4: Simplify right side
    6,306.75x = 80,151,732.56
  5. Step 5: Solve for x
    x = 80,151,732.56/6,306.75
  6. Step 6: Final answer
    x = 12,708.88

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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.