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Finding the Third Proportional to 14,778 and 31,876

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Solution

The third proportional to 14,778 and 31,876 is: 68,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 31,876 = 31,876 : x
  2. Step 2: Convert to fraction form
    14,778/31,876 = 31,876/x
  3. Step 3: Cross multiply
    14,778x = 31,876 × 31,876
  4. Step 4: Simplify right side
    14,778x = 1,016,079,376
  5. Step 5: Solve for x
    x = 1,016,079,376/14,778
  6. Step 6: Final answer
    x = 68,756.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.