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Finding the Third Proportional to 24,277 and 51,929

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Solution

The third proportional to 24,277 and 51,929 is: 111,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277 : 51,929 = 51,929 : x
  2. Step 2: Convert to fraction form
    24,277/51,929 = 51,929/x
  3. Step 3: Cross multiply
    24,277x = 51,929 × 51,929
  4. Step 4: Simplify right side
    24,277x = 2,696,621,041
  5. Step 5: Solve for x
    x = 2,696,621,041/24,277
  6. Step 6: Final answer
    x = 111,077.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.