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Finding the Third Proportional to 48,227.81 and 68,794.69

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Solution

The third proportional to 48,227.81 and 68,794.69 is: 98,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,227.81 : 68,794.69 = 68,794.69 : x
  2. Step 2: Convert to fraction form
    48,227.81/68,794.69 = 68,794.69/x
  3. Step 3: Cross multiply
    48,227.81x = 68,794.69 × 68,794.69
  4. Step 4: Simplify right side
    48,227.81x = 4,732,709,028.22
  5. Step 5: Solve for x
    x = 4,732,709,028.22/48,227.81
  6. Step 6: Final answer
    x = 98,132.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.