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Finding the Third Proportional to 5,192 and 8,080

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Solution

The third proportional to 5,192 and 8,080 is: 12,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 8,080 = 8,080 : x
  2. Step 2: Convert to fraction form
    5,192/8,080 = 8,080/x
  3. Step 3: Cross multiply
    5,192x = 8,080 × 8,080
  4. Step 4: Simplify right side
    5,192x = 65,286,400
  5. Step 5: Solve for x
    x = 65,286,400/5,192
  6. Step 6: Final answer
    x = 12,574.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.