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Finding the Third Proportional to 32,557.50 and 66,843

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Solution

The third proportional to 32,557.50 and 66,843 is: 137,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.50 : 66,843 = 66,843 : x
  2. Step 2: Convert to fraction form
    32,557.50/66,843 = 66,843/x
  3. Step 3: Cross multiply
    32,557.50x = 66,843 × 66,843
  4. Step 4: Simplify right side
    32,557.50x = 4,467,986,649
  5. Step 5: Solve for x
    x = 4,467,986,649/32,557.50
  6. Step 6: Final answer
    x = 137,233.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.