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Finding the Third Proportional to 5,247.28 and 11,586.16

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Solution

The third proportional to 5,247.28 and 11,586.16 is: 25,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.28 : 11,586.16 = 11,586.16 : x
  2. Step 2: Convert to fraction form
    5,247.28/11,586.16 = 11,586.16/x
  3. Step 3: Cross multiply
    5,247.28x = 11,586.16 × 11,586.16
  4. Step 4: Simplify right side
    5,247.28x = 134,239,197.68
  5. Step 5: Solve for x
    x = 134,239,197.68/5,247.28
  6. Step 6: Final answer
    x = 25,582.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.