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Finding the Third Proportional to 3,370.20 and 5,053.17

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Solution

The third proportional to 3,370.20 and 5,053.17 is: 7,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.20 : 5,053.17 = 5,053.17 : x
  2. Step 2: Convert to fraction form
    3,370.20/5,053.17 = 5,053.17/x
  3. Step 3: Cross multiply
    3,370.20x = 5,053.17 × 5,053.17
  4. Step 4: Simplify right side
    3,370.20x = 25,534,486.78
  5. Step 5: Solve for x
    x = 25,534,486.78/3,370.20
  6. Step 6: Final answer
    x = 7,576.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.