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Finding the Third Proportional to 30,981 and 49,241

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Solution

The third proportional to 30,981 and 49,241 is: 78,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981 : 49,241 = 49,241 : x
  2. Step 2: Convert to fraction form
    30,981/49,241 = 49,241/x
  3. Step 3: Cross multiply
    30,981x = 49,241 × 49,241
  4. Step 4: Simplify right side
    30,981x = 2,424,676,081
  5. Step 5: Solve for x
    x = 2,424,676,081/30,981
  6. Step 6: Final answer
    x = 78,263.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.