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Finding the Third Proportional to 5,564 and 13,442

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Solution

The third proportional to 5,564 and 13,442 is: 32,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564 : 13,442 = 13,442 : x
  2. Step 2: Convert to fraction form
    5,564/13,442 = 13,442/x
  3. Step 3: Cross multiply
    5,564x = 13,442 × 13,442
  4. Step 4: Simplify right side
    5,564x = 180,687,364
  5. Step 5: Solve for x
    x = 180,687,364/5,564
  6. Step 6: Final answer
    x = 32,474.36

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.