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Finding the Third Proportional to 22,716 and 34,794

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Solution

The third proportional to 22,716 and 34,794 is: 53,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 34,794 = 34,794 : x
  2. Step 2: Convert to fraction form
    22,716/34,794 = 34,794/x
  3. Step 3: Cross multiply
    22,716x = 34,794 × 34,794
  4. Step 4: Simplify right side
    22,716x = 1,210,622,436
  5. Step 5: Solve for x
    x = 1,210,622,436/22,716
  6. Step 6: Final answer
    x = 53,293.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.