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Finding the Third Proportional to 41,207.25 and 61,783.50

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Solution

The third proportional to 41,207.25 and 61,783.50 is: 92,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,207.25 : 61,783.50 = 61,783.50 : x
  2. Step 2: Convert to fraction form
    41,207.25/61,783.50 = 61,783.50/x
  3. Step 3: Cross multiply
    41,207.25x = 61,783.50 × 61,783.50
  4. Step 4: Simplify right side
    41,207.25x = 3,817,200,872.25
  5. Step 5: Solve for x
    x = 3,817,200,872.25/41,207.25
  6. Step 6: Final answer
    x = 92,634.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.