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Finding the Third Proportional to 24,802 and 51,277

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Solution

The third proportional to 24,802 and 51,277 is: 106,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 51,277 = 51,277 : x
  2. Step 2: Convert to fraction form
    24,802/51,277 = 51,277/x
  3. Step 3: Cross multiply
    24,802x = 51,277 × 51,277
  4. Step 4: Simplify right side
    24,802x = 2,629,330,729
  5. Step 5: Solve for x
    x = 2,629,330,729/24,802
  6. Step 6: Final answer
    x = 106,012.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.