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Finding the Third Proportional to 5,408 and 7,132

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Solution

The third proportional to 5,408 and 7,132 is: 9,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 7,132 = 7,132 : x
  2. Step 2: Convert to fraction form
    5,408/7,132 = 7,132/x
  3. Step 3: Cross multiply
    5,408x = 7,132 × 7,132
  4. Step 4: Simplify right side
    5,408x = 50,865,424
  5. Step 5: Solve for x
    x = 50,865,424/5,408
  6. Step 6: Final answer
    x = 9,405.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.