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Finding the Third Proportional to 3,738.38 and 4,740.75

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Solution

The third proportional to 3,738.38 and 4,740.75 is: 6,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.38 : 4,740.75 = 4,740.75 : x
  2. Step 2: Convert to fraction form
    3,738.38/4,740.75 = 4,740.75/x
  3. Step 3: Cross multiply
    3,738.38x = 4,740.75 × 4,740.75
  4. Step 4: Simplify right side
    3,738.38x = 22,474,710.56
  5. Step 5: Solve for x
    x = 22,474,710.56/3,738.38
  6. Step 6: Final answer
    x = 6,011.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.