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Finding the Third Proportional to 40,023.81 and 84,660.82

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Solution

The third proportional to 40,023.81 and 84,660.82 is: 179,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,023.81 : 84,660.82 = 84,660.82 : x
  2. Step 2: Convert to fraction form
    40,023.81/84,660.82 = 84,660.82/x
  3. Step 3: Cross multiply
    40,023.81x = 84,660.82 × 84,660.82
  4. Step 4: Simplify right side
    40,023.81x = 7,167,454,495.99
  5. Step 5: Solve for x
    x = 7,167,454,495.99/40,023.81
  6. Step 6: Final answer
    x = 179,079.77

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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.