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Finding the Third Proportional to 38,205.75 and 59,039.75

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Solution

The third proportional to 38,205.75 and 59,039.75 is: 91,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.75 : 59,039.75 = 59,039.75 : x
  2. Step 2: Convert to fraction form
    38,205.75/59,039.75 = 59,039.75/x
  3. Step 3: Cross multiply
    38,205.75x = 59,039.75 × 59,039.75
  4. Step 4: Simplify right side
    38,205.75x = 3,485,692,080.06
  5. Step 5: Solve for x
    x = 3,485,692,080.06/38,205.75
  6. Step 6: Final answer
    x = 91,234.75

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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.