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Finding the Third Proportional to 34,614 and 52,914

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Solution

The third proportional to 34,614 and 52,914 is: 80,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 52,914 = 52,914 : x
  2. Step 2: Convert to fraction form
    34,614/52,914 = 52,914/x
  3. Step 3: Cross multiply
    34,614x = 52,914 × 52,914
  4. Step 4: Simplify right side
    34,614x = 2,799,891,396
  5. Step 5: Solve for x
    x = 2,799,891,396/34,614
  6. Step 6: Final answer
    x = 80,888.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.