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Finding the Third Proportional to 41,447.25 and 87,819.75

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Solution

The third proportional to 41,447.25 and 87,819.75 is: 186,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447.25 : 87,819.75 = 87,819.75 : x
  2. Step 2: Convert to fraction form
    41,447.25/87,819.75 = 87,819.75/x
  3. Step 3: Cross multiply
    41,447.25x = 87,819.75 × 87,819.75
  4. Step 4: Simplify right side
    41,447.25x = 7,712,308,490.06
  5. Step 5: Solve for x
    x = 7,712,308,490.06/41,447.25
  6. Step 6: Final answer
    x = 186,075.28

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.