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Finding the Third Proportional to 5,344 and 5,560

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Solution

The third proportional to 5,344 and 5,560 is: 5,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344 : 5,560 = 5,560 : x
  2. Step 2: Convert to fraction form
    5,344/5,560 = 5,560/x
  3. Step 3: Cross multiply
    5,344x = 5,560 × 5,560
  4. Step 4: Simplify right side
    5,344x = 30,913,600
  5. Step 5: Solve for x
    x = 30,913,600/5,344
  6. Step 6: Final answer
    x = 5,784.73

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.