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Finding the Third Proportional to 23,216 and 49,922

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Solution

The third proportional to 23,216 and 49,922 is: 107,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 49,922 = 49,922 : x
  2. Step 2: Convert to fraction form
    23,216/49,922 = 49,922/x
  3. Step 3: Cross multiply
    23,216x = 49,922 × 49,922
  4. Step 4: Simplify right side
    23,216x = 2,492,206,084
  5. Step 5: Solve for x
    x = 2,492,206,084/23,216
  6. Step 6: Final answer
    x = 107,348.64

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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.