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Finding the Third Proportional to 5,032 and 5,560

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Solution

The third proportional to 5,032 and 5,560 is: 6,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032 : 5,560 = 5,560 : x
  2. Step 2: Convert to fraction form
    5,032/5,560 = 5,560/x
  3. Step 3: Cross multiply
    5,032x = 5,560 × 5,560
  4. Step 4: Simplify right side
    5,032x = 30,913,600
  5. Step 5: Solve for x
    x = 30,913,600/5,032
  6. Step 6: Final answer
    x = 6,143.40

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.