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Finding the Third Proportional to 20,819.81 and 27,334.69

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Solution

The third proportional to 20,819.81 and 27,334.69 is: 35,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.81 : 27,334.69 = 27,334.69 : x
  2. Step 2: Convert to fraction form
    20,819.81/27,334.69 = 27,334.69/x
  3. Step 3: Cross multiply
    20,819.81x = 27,334.69 × 27,334.69
  4. Step 4: Simplify right side
    20,819.81x = 747,185,140.72
  5. Step 5: Solve for x
    x = 747,185,140.72/20,819.81
  6. Step 6: Final answer
    x = 35,888.18

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.