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Finding the Third Proportional to 38,874 and 59,767

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Solution

The third proportional to 38,874 and 59,767 is: 91,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874 : 59,767 = 59,767 : x
  2. Step 2: Convert to fraction form
    38,874/59,767 = 59,767/x
  3. Step 3: Cross multiply
    38,874x = 59,767 × 59,767
  4. Step 4: Simplify right side
    38,874x = 3,572,094,289
  5. Step 5: Solve for x
    x = 3,572,094,289/38,874
  6. Step 6: Final answer
    x = 91,889.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.