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Finding the Third Proportional to 48,760 and 72,821

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Solution

The third proportional to 48,760 and 72,821 is: 108,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,760 : 72,821 = 72,821 : x
  2. Step 2: Convert to fraction form
    48,760/72,821 = 72,821/x
  3. Step 3: Cross multiply
    48,760x = 72,821 × 72,821
  4. Step 4: Simplify right side
    48,760x = 5,302,898,041
  5. Step 5: Solve for x
    x = 5,302,898,041/48,760
  6. Step 6: Final answer
    x = 108,755.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.