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Finding the Third Proportional to 2,674.55 and 3,549.66

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Solution

The third proportional to 2,674.55 and 3,549.66 is: 4,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.55 : 3,549.66 = 3,549.66 : x
  2. Step 2: Convert to fraction form
    2,674.55/3,549.66 = 3,549.66/x
  3. Step 3: Cross multiply
    2,674.55x = 3,549.66 × 3,549.66
  4. Step 4: Simplify right side
    2,674.55x = 12,600,059.49
  5. Step 5: Solve for x
    x = 12,600,059.49/2,674.55
  6. Step 6: Final answer
    x = 4,711.10

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.