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Finding the Third Proportional to 38,706 and 59,821

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Solution

The third proportional to 38,706 and 59,821 is: 92,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706 : 59,821 = 59,821 : x
  2. Step 2: Convert to fraction form
    38,706/59,821 = 59,821/x
  3. Step 3: Cross multiply
    38,706x = 59,821 × 59,821
  4. Step 4: Simplify right side
    38,706x = 3,578,552,041
  5. Step 5: Solve for x
    x = 3,578,552,041/38,706
  6. Step 6: Final answer
    x = 92,454.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.