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Finding the Third Proportional to 4,340.57 and 9,339.79

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Solution

The third proportional to 4,340.57 and 9,339.79 is: 20,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.57 : 9,339.79 = 9,339.79 : x
  2. Step 2: Convert to fraction form
    4,340.57/9,339.79 = 9,339.79/x
  3. Step 3: Cross multiply
    4,340.57x = 9,339.79 × 9,339.79
  4. Step 4: Simplify right side
    4,340.57x = 87,231,586.76
  5. Step 5: Solve for x
    x = 87,231,586.76/4,340.57
  6. Step 6: Final answer
    x = 20,096.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.