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Finding the Third Proportional to 2,166.05 and 3,360.52

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Solution

The third proportional to 2,166.05 and 3,360.52 is: 5,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.05 : 3,360.52 = 3,360.52 : x
  2. Step 2: Convert to fraction form
    2,166.05/3,360.52 = 3,360.52/x
  3. Step 3: Cross multiply
    2,166.05x = 3,360.52 × 3,360.52
  4. Step 4: Simplify right side
    2,166.05x = 11,293,065.27
  5. Step 5: Solve for x
    x = 11,293,065.27/2,166.05
  6. Step 6: Final answer
    x = 5,213.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.