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Finding the Third Proportional to 20,203.17 and 32,081.70

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Solution

The third proportional to 20,203.17 and 32,081.70 is: 50,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.17 : 32,081.70 = 32,081.70 : x
  2. Step 2: Convert to fraction form
    20,203.17/32,081.70 = 32,081.70/x
  3. Step 3: Cross multiply
    20,203.17x = 32,081.70 × 32,081.70
  4. Step 4: Simplify right side
    20,203.17x = 1,029,235,174.12
  5. Step 5: Solve for x
    x = 1,029,235,174.12/20,203.17
  6. Step 6: Final answer
    x = 50,944.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.