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Finding the Third Proportional to 41,891.75 and 89,780

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Solution

The third proportional to 41,891.75 and 89,780 is: 192,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,891.75 : 89,780 = 89,780 : x
  2. Step 2: Convert to fraction form
    41,891.75/89,780 = 89,780/x
  3. Step 3: Cross multiply
    41,891.75x = 89,780 × 89,780
  4. Step 4: Simplify right side
    41,891.75x = 8,060,448,400
  5. Step 5: Solve for x
    x = 8,060,448,400/41,891.75
  6. Step 6: Final answer
    x = 192,411.36

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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.