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Finding the Third Proportional to 33,247.13 and 72,024.19

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Solution

The third proportional to 33,247.13 and 72,024.19 is: 156,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.13 : 72,024.19 = 72,024.19 : x
  2. Step 2: Convert to fraction form
    33,247.13/72,024.19 = 72,024.19/x
  3. Step 3: Cross multiply
    33,247.13x = 72,024.19 × 72,024.19
  4. Step 4: Simplify right side
    33,247.13x = 5,187,483,585.04
  5. Step 5: Solve for x
    x = 5,187,483,585.04/33,247.13
  6. Step 6: Final answer
    x = 156,028.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.