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Finding the Third Proportional to 3,972 and 6,065

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Solution

The third proportional to 3,972 and 6,065 is: 9,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 6,065 = 6,065 : x
  2. Step 2: Convert to fraction form
    3,972/6,065 = 6,065/x
  3. Step 3: Cross multiply
    3,972x = 6,065 × 6,065
  4. Step 4: Simplify right side
    3,972x = 36,784,225
  5. Step 5: Solve for x
    x = 36,784,225/3,972
  6. Step 6: Final answer
    x = 9,260.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.