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Finding the Third Proportional to 22,843.81 and 34,265.75

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Solution

The third proportional to 22,843.81 and 34,265.75 is: 51,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.81 : 34,265.75 = 34,265.75 : x
  2. Step 2: Convert to fraction form
    22,843.81/34,265.75 = 34,265.75/x
  3. Step 3: Cross multiply
    22,843.81x = 34,265.75 × 34,265.75
  4. Step 4: Simplify right side
    22,843.81x = 1,174,141,623.06
  5. Step 5: Solve for x
    x = 1,174,141,623.06/22,843.81
  6. Step 6: Final answer
    x = 51,398.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.