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Finding the Third Proportional to 10,867.25 and 23,169.75

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Solution

The third proportional to 10,867.25 and 23,169.75 is: 49,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.25 : 23,169.75 = 23,169.75 : x
  2. Step 2: Convert to fraction form
    10,867.25/23,169.75 = 23,169.75/x
  3. Step 3: Cross multiply
    10,867.25x = 23,169.75 × 23,169.75
  4. Step 4: Simplify right side
    10,867.25x = 536,837,315.06
  5. Step 5: Solve for x
    x = 536,837,315.06/10,867.25
  6. Step 6: Final answer
    x = 49,399.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.