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Finding the Third Proportional to 22,900 and 46,934

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Solution

The third proportional to 22,900 and 46,934 is: 96,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900 : 46,934 = 46,934 : x
  2. Step 2: Convert to fraction form
    22,900/46,934 = 46,934/x
  3. Step 3: Cross multiply
    22,900x = 46,934 × 46,934
  4. Step 4: Simplify right side
    22,900x = 2,202,800,356
  5. Step 5: Solve for x
    x = 2,202,800,356/22,900
  6. Step 6: Final answer
    x = 96,192.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.