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Finding the Third Proportional to 5,880 and 6,780

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Solution

The third proportional to 5,880 and 6,780 is: 7,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 6,780 = 6,780 : x
  2. Step 2: Convert to fraction form
    5,880/6,780 = 6,780/x
  3. Step 3: Cross multiply
    5,880x = 6,780 × 6,780
  4. Step 4: Simplify right side
    5,880x = 45,968,400
  5. Step 5: Solve for x
    x = 45,968,400/5,880
  6. Step 6: Final answer
    x = 7,817.76

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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.