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Finding the Third Proportional to 32,555 and 49,181

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Solution

The third proportional to 32,555 and 49,181 is: 74,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,555 : 49,181 = 49,181 : x
  2. Step 2: Convert to fraction form
    32,555/49,181 = 49,181/x
  3. Step 3: Cross multiply
    32,555x = 49,181 × 49,181
  4. Step 4: Simplify right side
    32,555x = 2,418,770,761
  5. Step 5: Solve for x
    x = 2,418,770,761/32,555
  6. Step 6: Final answer
    x = 74,297.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.