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Finding the Third Proportional to 37,327 and 54,889

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Solution

The third proportional to 37,327 and 54,889 is: 80,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,327 : 54,889 = 54,889 : x
  2. Step 2: Convert to fraction form
    37,327/54,889 = 54,889/x
  3. Step 3: Cross multiply
    37,327x = 54,889 × 54,889
  4. Step 4: Simplify right side
    37,327x = 3,012,802,321
  5. Step 5: Solve for x
    x = 3,012,802,321/37,327
  6. Step 6: Final answer
    x = 80,713.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.