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Finding the Third Proportional to 41,833.50 and 62,842.50

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Solution

The third proportional to 41,833.50 and 62,842.50 is: 94,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,833.50 : 62,842.50 = 62,842.50 : x
  2. Step 2: Convert to fraction form
    41,833.50/62,842.50 = 62,842.50/x
  3. Step 3: Cross multiply
    41,833.50x = 62,842.50 × 62,842.50
  4. Step 4: Simplify right side
    41,833.50x = 3,949,179,806.25
  5. Step 5: Solve for x
    x = 3,949,179,806.25/41,833.50
  6. Step 6: Final answer
    x = 94,402.33

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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.