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Finding the Third Proportional to 38,206.50 and 59,040.50

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Solution

The third proportional to 38,206.50 and 59,040.50 is: 91,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.50 : 59,040.50 = 59,040.50 : x
  2. Step 2: Convert to fraction form
    38,206.50/59,040.50 = 59,040.50/x
  3. Step 3: Cross multiply
    38,206.50x = 59,040.50 × 59,040.50
  4. Step 4: Simplify right side
    38,206.50x = 3,485,780,640.25
  5. Step 5: Solve for x
    x = 3,485,780,640.25/38,206.50
  6. Step 6: Final answer
    x = 91,235.28

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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.