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Finding the Third Proportional to 20,982.38 and 32,533.31

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Solution

The third proportional to 20,982.38 and 32,533.31 is: 50,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.38 : 32,533.31 = 32,533.31 : x
  2. Step 2: Convert to fraction form
    20,982.38/32,533.31 = 32,533.31/x
  3. Step 3: Cross multiply
    20,982.38x = 32,533.31 × 32,533.31
  4. Step 4: Simplify right side
    20,982.38x = 1,058,416,422.22
  5. Step 5: Solve for x
    x = 1,058,416,422.22/20,982.38
  6. Step 6: Final answer
    x = 50,443.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.