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Finding the Third Proportional to 4,799.25 and 6,132.38

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Solution

The third proportional to 4,799.25 and 6,132.38 is: 7,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.25 : 6,132.38 = 6,132.38 : x
  2. Step 2: Convert to fraction form
    4,799.25/6,132.38 = 6,132.38/x
  3. Step 3: Cross multiply
    4,799.25x = 6,132.38 × 6,132.38
  4. Step 4: Simplify right side
    4,799.25x = 37,606,023.14
  5. Step 5: Solve for x
    x = 37,606,023.14/4,799.25
  6. Step 6: Final answer
    x = 7,835.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.