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Finding the Third Proportional to 38,706 and 57,908

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Solution

The third proportional to 38,706 and 57,908 is: 86,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706 : 57,908 = 57,908 : x
  2. Step 2: Convert to fraction form
    38,706/57,908 = 57,908/x
  3. Step 3: Cross multiply
    38,706x = 57,908 × 57,908
  4. Step 4: Simplify right side
    38,706x = 3,353,336,464
  5. Step 5: Solve for x
    x = 3,353,336,464/38,706
  6. Step 6: Final answer
    x = 86,636.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.