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Finding the Third Proportional to 38,257.50 and 59,094

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Solution

The third proportional to 38,257.50 and 59,094 is: 91,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.50 : 59,094 = 59,094 : x
  2. Step 2: Convert to fraction form
    38,257.50/59,094 = 59,094/x
  3. Step 3: Cross multiply
    38,257.50x = 59,094 × 59,094
  4. Step 4: Simplify right side
    38,257.50x = 3,492,100,836
  5. Step 5: Solve for x
    x = 3,492,100,836/38,257.50
  6. Step 6: Final answer
    x = 91,278.86

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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.