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Finding the Third Proportional to 3,148.13 and 4,947.38

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Solution

The third proportional to 3,148.13 and 4,947.38 is: 7,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.13 : 4,947.38 = 4,947.38 : x
  2. Step 2: Convert to fraction form
    3,148.13/4,947.38 = 4,947.38/x
  3. Step 3: Cross multiply
    3,148.13x = 4,947.38 × 4,947.38
  4. Step 4: Simplify right side
    3,148.13x = 24,476,519.39
  5. Step 5: Solve for x
    x = 24,476,519.39/3,148.13
  6. Step 6: Final answer
    x = 7,774.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.