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Finding the Third Proportional to 4,257.60 and 5,862.61

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Solution

The third proportional to 4,257.60 and 5,862.61 is: 8,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.60 : 5,862.61 = 5,862.61 : x
  2. Step 2: Convert to fraction form
    4,257.60/5,862.61 = 5,862.61/x
  3. Step 3: Cross multiply
    4,257.60x = 5,862.61 × 5,862.61
  4. Step 4: Simplify right side
    4,257.60x = 34,370,223.04
  5. Step 5: Solve for x
    x = 34,370,223.04/4,257.60
  6. Step 6: Final answer
    x = 8,072.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.