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Finding the Third Proportional to 44,409 and 67,934

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Solution

The third proportional to 44,409 and 67,934 is: 103,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,409 : 67,934 = 67,934 : x
  2. Step 2: Convert to fraction form
    44,409/67,934 = 67,934/x
  3. Step 3: Cross multiply
    44,409x = 67,934 × 67,934
  4. Step 4: Simplify right side
    44,409x = 4,615,028,356
  5. Step 5: Solve for x
    x = 4,615,028,356/44,409
  6. Step 6: Final answer
    x = 103,921.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.