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Finding the Third Proportional to 39,874 and 54,178

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Solution

The third proportional to 39,874 and 54,178 is: 73,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,874 : 54,178 = 54,178 : x
  2. Step 2: Convert to fraction form
    39,874/54,178 = 54,178/x
  3. Step 3: Cross multiply
    39,874x = 54,178 × 54,178
  4. Step 4: Simplify right side
    39,874x = 2,935,255,684
  5. Step 5: Solve for x
    x = 2,935,255,684/39,874
  6. Step 6: Final answer
    x = 73,613.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.