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Finding the Third Proportional to 34,866 and 55,408

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Solution

The third proportional to 34,866 and 55,408 is: 88,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,866 : 55,408 = 55,408 : x
  2. Step 2: Convert to fraction form
    34,866/55,408 = 55,408/x
  3. Step 3: Cross multiply
    34,866x = 55,408 × 55,408
  4. Step 4: Simplify right side
    34,866x = 3,070,046,464
  5. Step 5: Solve for x
    x = 3,070,046,464/34,866
  6. Step 6: Final answer
    x = 88,052.73

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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.