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Finding the Third Proportional to 20,832.75 and 32,266.13

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Solution

The third proportional to 20,832.75 and 32,266.13 is: 49,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.75 : 32,266.13 = 32,266.13 : x
  2. Step 2: Convert to fraction form
    20,832.75/32,266.13 = 32,266.13/x
  3. Step 3: Cross multiply
    20,832.75x = 32,266.13 × 32,266.13
  4. Step 4: Simplify right side
    20,832.75x = 1,041,102,822.52
  5. Step 5: Solve for x
    x = 1,041,102,822.52/20,832.75
  6. Step 6: Final answer
    x = 49,974.33

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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.