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Finding the Third Proportional to 30,866 and 49,065

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Solution

The third proportional to 30,866 and 49,065 is: 77,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866 : 49,065 = 49,065 : x
  2. Step 2: Convert to fraction form
    30,866/49,065 = 49,065/x
  3. Step 3: Cross multiply
    30,866x = 49,065 × 49,065
  4. Step 4: Simplify right side
    30,866x = 2,407,374,225
  5. Step 5: Solve for x
    x = 2,407,374,225/30,866
  6. Step 6: Final answer
    x = 77,994.37

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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.