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Finding the Third Proportional to 3,147.19 and 4,740.19

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Solution

The third proportional to 3,147.19 and 4,740.19 is: 7,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.19 : 4,740.19 = 4,740.19 : x
  2. Step 2: Convert to fraction form
    3,147.19/4,740.19 = 4,740.19/x
  3. Step 3: Cross multiply
    3,147.19x = 4,740.19 × 4,740.19
  4. Step 4: Simplify right side
    3,147.19x = 22,469,377.54
  5. Step 5: Solve for x
    x = 22,469,377.54/3,147.19
  6. Step 6: Final answer
    x = 7,139.51

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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.