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Finding the Third Proportional to 3,738.38 and 4,281.75

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Solution

The third proportional to 3,738.38 and 4,281.75 is: 4,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.38 : 4,281.75 = 4,281.75 : x
  2. Step 2: Convert to fraction form
    3,738.38/4,281.75 = 4,281.75/x
  3. Step 3: Cross multiply
    3,738.38x = 4,281.75 × 4,281.75
  4. Step 4: Simplify right side
    3,738.38x = 18,333,383.06
  5. Step 5: Solve for x
    x = 18,333,383.06/3,738.38
  6. Step 6: Final answer
    x = 4,904.10

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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.