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Finding the Third Proportional to 24,055 and 51,662

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Solution

The third proportional to 24,055 and 51,662 is: 110,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,055 : 51,662 = 51,662 : x
  2. Step 2: Convert to fraction form
    24,055/51,662 = 51,662/x
  3. Step 3: Cross multiply
    24,055x = 51,662 × 51,662
  4. Step 4: Simplify right side
    24,055x = 2,668,962,244
  5. Step 5: Solve for x
    x = 2,668,962,244/24,055
  6. Step 6: Final answer
    x = 110,952.49

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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.