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Finding the Third Proportional to 4,452 and 5,124

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Solution

The third proportional to 4,452 and 5,124 is: 5,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452 : 5,124 = 5,124 : x
  2. Step 2: Convert to fraction form
    4,452/5,124 = 5,124/x
  3. Step 3: Cross multiply
    4,452x = 5,124 × 5,124
  4. Step 4: Simplify right side
    4,452x = 26,255,376
  5. Step 5: Solve for x
    x = 26,255,376/4,452
  6. Step 6: Final answer
    x = 5,897.43

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.