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Finding the Third Proportional to 3,524 and 4,550

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Solution

The third proportional to 3,524 and 4,550 is: 5,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524 : 4,550 = 4,550 : x
  2. Step 2: Convert to fraction form
    3,524/4,550 = 4,550/x
  3. Step 3: Cross multiply
    3,524x = 4,550 × 4,550
  4. Step 4: Simplify right side
    3,524x = 20,702,500
  5. Step 5: Solve for x
    x = 20,702,500/3,524
  6. Step 6: Final answer
    x = 5,874.72

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.