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Finding the Third Proportional to 3,371.70 and 7,412.55

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Solution

The third proportional to 3,371.70 and 7,412.55 is: 16,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.70 : 7,412.55 = 7,412.55 : x
  2. Step 2: Convert to fraction form
    3,371.70/7,412.55 = 7,412.55/x
  3. Step 3: Cross multiply
    3,371.70x = 7,412.55 × 7,412.55
  4. Step 4: Simplify right side
    3,371.70x = 54,945,967.00
  5. Step 5: Solve for x
    x = 54,945,967.00/3,371.70
  6. Step 6: Final answer
    x = 16,296.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.