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Finding the Third Proportional to 37,908 and 59,336

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Solution

The third proportional to 37,908 and 59,336 is: 92,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908 : 59,336 = 59,336 : x
  2. Step 2: Convert to fraction form
    37,908/59,336 = 59,336/x
  3. Step 3: Cross multiply
    37,908x = 59,336 × 59,336
  4. Step 4: Simplify right side
    37,908x = 3,520,760,896
  5. Step 5: Solve for x
    x = 3,520,760,896/37,908
  6. Step 6: Final answer
    x = 92,876.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.