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Finding the Third Proportional to 4,149 and 5,506

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Solution

The third proportional to 4,149 and 5,506 is: 7,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 5,506 = 5,506 : x
  2. Step 2: Convert to fraction form
    4,149/5,506 = 5,506/x
  3. Step 3: Cross multiply
    4,149x = 5,506 × 5,506
  4. Step 4: Simplify right side
    4,149x = 30,316,036
  5. Step 5: Solve for x
    x = 30,316,036/4,149
  6. Step 6: Final answer
    x = 7,306.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.