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Finding the Third Proportional to 6,456 and 9,080

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Solution

The third proportional to 6,456 and 9,080 is: 12,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 9,080 = 9,080 : x
  2. Step 2: Convert to fraction form
    6,456/9,080 = 9,080/x
  3. Step 3: Cross multiply
    6,456x = 9,080 × 9,080
  4. Step 4: Simplify right side
    6,456x = 82,446,400
  5. Step 5: Solve for x
    x = 82,446,400/6,456
  6. Step 6: Final answer
    x = 12,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.