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Finding the Third Proportional to 10,727.75 and 23,069.75

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Solution

The third proportional to 10,727.75 and 23,069.75 is: 49,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.75 : 23,069.75 = 23,069.75 : x
  2. Step 2: Convert to fraction form
    10,727.75/23,069.75 = 23,069.75/x
  3. Step 3: Cross multiply
    10,727.75x = 23,069.75 × 23,069.75
  4. Step 4: Simplify right side
    10,727.75x = 532,213,365.06
  5. Step 5: Solve for x
    x = 532,213,365.06/10,727.75
  6. Step 6: Final answer
    x = 49,610.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.