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Finding the Third Proportional to 30,892 and 67,799

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Solution

The third proportional to 30,892 and 67,799 is: 148,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892 : 67,799 = 67,799 : x
  2. Step 2: Convert to fraction form
    30,892/67,799 = 67,799/x
  3. Step 3: Cross multiply
    30,892x = 67,799 × 67,799
  4. Step 4: Simplify right side
    30,892x = 4,596,704,401
  5. Step 5: Solve for x
    x = 4,596,704,401/30,892
  6. Step 6: Final answer
    x = 148,799.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.