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Finding the Third Proportional to 22,167 and 46,831

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Solution

The third proportional to 22,167 and 46,831 is: 98,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 46,831 = 46,831 : x
  2. Step 2: Convert to fraction form
    22,167/46,831 = 46,831/x
  3. Step 3: Cross multiply
    22,167x = 46,831 × 46,831
  4. Step 4: Simplify right side
    22,167x = 2,193,142,561
  5. Step 5: Solve for x
    x = 2,193,142,561/22,167
  6. Step 6: Final answer
    x = 98,937.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.