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Finding the Third Proportional to 5,427 and 10,080

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Solution

The third proportional to 5,427 and 10,080 is: 18,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 10,080 = 10,080 : x
  2. Step 2: Convert to fraction form
    5,427/10,080 = 10,080/x
  3. Step 3: Cross multiply
    5,427x = 10,080 × 10,080
  4. Step 4: Simplify right side
    5,427x = 101,606,400
  5. Step 5: Solve for x
    x = 101,606,400/5,427
  6. Step 6: Final answer
    x = 18,722.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.