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Finding the Third Proportional to 24,694 and 40,119

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Solution

The third proportional to 24,694 and 40,119 is: 65,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694 : 40,119 = 40,119 : x
  2. Step 2: Convert to fraction form
    24,694/40,119 = 40,119/x
  3. Step 3: Cross multiply
    24,694x = 40,119 × 40,119
  4. Step 4: Simplify right side
    24,694x = 1,609,534,161
  5. Step 5: Solve for x
    x = 1,609,534,161/24,694
  6. Step 6: Final answer
    x = 65,179.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.