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Finding the Third Proportional to 43,784 and 67,924

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Solution

The third proportional to 43,784 and 67,924 is: 105,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784 : 67,924 = 67,924 : x
  2. Step 2: Convert to fraction form
    43,784/67,924 = 67,924/x
  3. Step 3: Cross multiply
    43,784x = 67,924 × 67,924
  4. Step 4: Simplify right side
    43,784x = 4,613,669,776
  5. Step 5: Solve for x
    x = 4,613,669,776/43,784
  6. Step 6: Final answer
    x = 105,373.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.