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Finding the Third Proportional to 9,247.31 and 20,224.69

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Solution

The third proportional to 9,247.31 and 20,224.69 is: 44,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.31 : 20,224.69 = 20,224.69 : x
  2. Step 2: Convert to fraction form
    9,247.31/20,224.69 = 20,224.69/x
  3. Step 3: Cross multiply
    9,247.31x = 20,224.69 × 20,224.69
  4. Step 4: Simplify right side
    9,247.31x = 409,037,984.47
  5. Step 5: Solve for x
    x = 409,037,984.47/9,247.31
  6. Step 6: Final answer
    x = 44,233.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.