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Finding the Third Proportional to 38,738.50 and 59,859.75

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Solution

The third proportional to 38,738.50 and 59,859.75 is: 92,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.50 : 59,859.75 = 59,859.75 : x
  2. Step 2: Convert to fraction form
    38,738.50/59,859.75 = 59,859.75/x
  3. Step 3: Cross multiply
    38,738.50x = 59,859.75 × 59,859.75
  4. Step 4: Simplify right side
    38,738.50x = 3,583,189,670.06
  5. Step 5: Solve for x
    x = 3,583,189,670.06/38,738.50
  6. Step 6: Final answer
    x = 92,496.86

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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.