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Finding the Third Proportional to 41,920.50 and 89,838

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Solution

The third proportional to 41,920.50 and 89,838 is: 192,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.50 : 89,838 = 89,838 : x
  2. Step 2: Convert to fraction form
    41,920.50/89,838 = 89,838/x
  3. Step 3: Cross multiply
    41,920.50x = 89,838 × 89,838
  4. Step 4: Simplify right side
    41,920.50x = 8,070,866,244
  5. Step 5: Solve for x
    x = 8,070,866,244/41,920.50
  6. Step 6: Final answer
    x = 192,527.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.