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Finding the Third Proportional to 5,976 and 7,880

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Solution

The third proportional to 5,976 and 7,880 is: 10,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 7,880 = 7,880 : x
  2. Step 2: Convert to fraction form
    5,976/7,880 = 7,880/x
  3. Step 3: Cross multiply
    5,976x = 7,880 × 7,880
  4. Step 4: Simplify right side
    5,976x = 62,094,400
  5. Step 5: Solve for x
    x = 62,094,400/5,976
  6. Step 6: Final answer
    x = 10,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.