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Finding the Third Proportional to 23,074.88 and 49,769.44

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Solution

The third proportional to 23,074.88 and 49,769.44 is: 107,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.88 : 49,769.44 = 49,769.44 : x
  2. Step 2: Convert to fraction form
    23,074.88/49,769.44 = 49,769.44/x
  3. Step 3: Cross multiply
    23,074.88x = 49,769.44 × 49,769.44
  4. Step 4: Simplify right side
    23,074.88x = 2,476,996,909.07
  5. Step 5: Solve for x
    x = 2,476,996,909.07/23,074.88
  6. Step 6: Final answer
    x = 107,346.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.