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Finding the Third Proportional to 3,150.38 and 4,765.13

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Solution

The third proportional to 3,150.38 and 4,765.13 is: 7,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.38 : 4,765.13 = 4,765.13 : x
  2. Step 2: Convert to fraction form
    3,150.38/4,765.13 = 4,765.13/x
  3. Step 3: Cross multiply
    3,150.38x = 4,765.13 × 4,765.13
  4. Step 4: Simplify right side
    3,150.38x = 22,706,416.27
  5. Step 5: Solve for x
    x = 22,706,416.27/3,150.38
  6. Step 6: Final answer
    x = 7,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.