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Finding the Third Proportional to 1,311.61 and 2,834.72

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Solution

The third proportional to 1,311.61 and 2,834.72 is: 6,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.61 : 2,834.72 = 2,834.72 : x
  2. Step 2: Convert to fraction form
    1,311.61/2,834.72 = 2,834.72/x
  3. Step 3: Cross multiply
    1,311.61x = 2,834.72 × 2,834.72
  4. Step 4: Simplify right side
    1,311.61x = 8,035,630.39
  5. Step 5: Solve for x
    x = 8,035,630.39/1,311.61
  6. Step 6: Final answer
    x = 6,126.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.