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Finding the Third Proportional to 30,661.50 and 41,205.75

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Solution

The third proportional to 30,661.50 and 41,205.75 is: 55,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.50 : 41,205.75 = 41,205.75 : x
  2. Step 2: Convert to fraction form
    30,661.50/41,205.75 = 41,205.75/x
  3. Step 3: Cross multiply
    30,661.50x = 41,205.75 × 41,205.75
  4. Step 4: Simplify right side
    30,661.50x = 1,697,913,833.06
  5. Step 5: Solve for x
    x = 1,697,913,833.06/30,661.50
  6. Step 6: Final answer
    x = 55,376.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.