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Finding the Third Proportional to 12,777 and 28,071

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Solution

The third proportional to 12,777 and 28,071 is: 61,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777 : 28,071 = 28,071 : x
  2. Step 2: Convert to fraction form
    12,777/28,071 = 28,071/x
  3. Step 3: Cross multiply
    12,777x = 28,071 × 28,071
  4. Step 4: Simplify right side
    12,777x = 787,981,041
  5. Step 5: Solve for x
    x = 787,981,041/12,777
  6. Step 6: Final answer
    x = 61,671.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.