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Finding the Third Proportional to 5,772 and 6,612

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Solution

The third proportional to 5,772 and 6,612 is: 7,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 6,612 = 6,612 : x
  2. Step 2: Convert to fraction form
    5,772/6,612 = 6,612/x
  3. Step 3: Cross multiply
    5,772x = 6,612 × 6,612
  4. Step 4: Simplify right side
    5,772x = 43,718,544
  5. Step 5: Solve for x
    x = 43,718,544/5,772
  6. Step 6: Final answer
    x = 7,574.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.