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Finding the Third Proportional to 24,194 and 38,019

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Solution

The third proportional to 24,194 and 38,019 is: 59,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194 : 38,019 = 38,019 : x
  2. Step 2: Convert to fraction form
    24,194/38,019 = 38,019/x
  3. Step 3: Cross multiply
    24,194x = 38,019 × 38,019
  4. Step 4: Simplify right side
    24,194x = 1,445,444,361
  5. Step 5: Solve for x
    x = 1,445,444,361/24,194
  6. Step 6: Final answer
    x = 59,743.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.