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Finding the Third Proportional to 3,226.08 and 5,132.95

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Solution

The third proportional to 3,226.08 and 5,132.95 is: 8,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.08 : 5,132.95 = 5,132.95 : x
  2. Step 2: Convert to fraction form
    3,226.08/5,132.95 = 5,132.95/x
  3. Step 3: Cross multiply
    3,226.08x = 5,132.95 × 5,132.95
  4. Step 4: Simplify right side
    3,226.08x = 26,347,207.78
  5. Step 5: Solve for x
    x = 26,347,207.78/3,226.08
  6. Step 6: Final answer
    x = 8,166.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.