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Finding the Third Proportional to 22,143.38 and 29,832.05

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Solution

The third proportional to 22,143.38 and 29,832.05 is: 40,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.38 : 29,832.05 = 29,832.05 : x
  2. Step 2: Convert to fraction form
    22,143.38/29,832.05 = 29,832.05/x
  3. Step 3: Cross multiply
    22,143.38x = 29,832.05 × 29,832.05
  4. Step 4: Simplify right side
    22,143.38x = 889,951,020.75
  5. Step 5: Solve for x
    x = 889,951,020.75/22,143.38
  6. Step 6: Final answer
    x = 40,190.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.