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Finding the Third Proportional to 5,459.34 and 8,240.91

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Solution

The third proportional to 5,459.34 and 8,240.91 is: 12,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.34 : 8,240.91 = 8,240.91 : x
  2. Step 2: Convert to fraction form
    5,459.34/8,240.91 = 8,240.91/x
  3. Step 3: Cross multiply
    5,459.34x = 8,240.91 × 8,240.91
  4. Step 4: Simplify right side
    5,459.34x = 67,912,535.82
  5. Step 5: Solve for x
    x = 67,912,535.82/5,459.34
  6. Step 6: Final answer
    x = 12,439.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.