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Finding the Third Proportional to 44,424 and 67,092

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Solution

The third proportional to 44,424 and 67,092 is: 101,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,424 : 67,092 = 67,092 : x
  2. Step 2: Convert to fraction form
    44,424/67,092 = 67,092/x
  3. Step 3: Cross multiply
    44,424x = 67,092 × 67,092
  4. Step 4: Simplify right side
    44,424x = 4,501,336,464
  5. Step 5: Solve for x
    x = 4,501,336,464/44,424
  6. Step 6: Final answer
    x = 101,326.68

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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.