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Finding the Third Proportional to 5,084 and 6,754

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Solution

The third proportional to 5,084 and 6,754 is: 8,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084 : 6,754 = 6,754 : x
  2. Step 2: Convert to fraction form
    5,084/6,754 = 6,754/x
  3. Step 3: Cross multiply
    5,084x = 6,754 × 6,754
  4. Step 4: Simplify right side
    5,084x = 45,616,516
  5. Step 5: Solve for x
    x = 45,616,516/5,084
  6. Step 6: Final answer
    x = 8,972.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.