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Finding the Third Proportional to 5,732.02 and 12,299.34

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Solution

The third proportional to 5,732.02 and 12,299.34 is: 26,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.02 : 12,299.34 = 12,299.34 : x
  2. Step 2: Convert to fraction form
    5,732.02/12,299.34 = 12,299.34/x
  3. Step 3: Cross multiply
    5,732.02x = 12,299.34 × 12,299.34
  4. Step 4: Simplify right side
    5,732.02x = 151,273,856.68
  5. Step 5: Solve for x
    x = 151,273,856.68/5,732.02
  6. Step 6: Final answer
    x = 26,391.04

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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.