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Finding the Third Proportional to 5,856.21 and 12,751.80

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Solution

The third proportional to 5,856.21 and 12,751.80 is: 27,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.21 : 12,751.80 = 12,751.80 : x
  2. Step 2: Convert to fraction form
    5,856.21/12,751.80 = 12,751.80/x
  3. Step 3: Cross multiply
    5,856.21x = 12,751.80 × 12,751.80
  4. Step 4: Simplify right side
    5,856.21x = 162,608,522.79
  5. Step 5: Solve for x
    x = 162,608,522.79/5,856.21
  6. Step 6: Final answer
    x = 27,766.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.