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Finding the Third Proportional to 5,532 and 13,394

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Solution

The third proportional to 5,532 and 13,394 is: 32,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532 : 13,394 = 13,394 : x
  2. Step 2: Convert to fraction form
    5,532/13,394 = 13,394/x
  3. Step 3: Cross multiply
    5,532x = 13,394 × 13,394
  4. Step 4: Simplify right side
    5,532x = 179,399,236
  5. Step 5: Solve for x
    x = 179,399,236/5,532
  6. Step 6: Final answer
    x = 32,429.36

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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.