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Finding the Third Proportional to 3,414.66 and 7,352.02

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Solution

The third proportional to 3,414.66 and 7,352.02 is: 15,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.66 : 7,352.02 = 7,352.02 : x
  2. Step 2: Convert to fraction form
    3,414.66/7,352.02 = 7,352.02/x
  3. Step 3: Cross multiply
    3,414.66x = 7,352.02 × 7,352.02
  4. Step 4: Simplify right side
    3,414.66x = 54,052,133.75
  5. Step 5: Solve for x
    x = 54,052,133.75/3,414.66
  6. Step 6: Final answer
    x = 15,829.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.