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Finding the Third Proportional to 22,192 and 46,888

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Solution

The third proportional to 22,192 and 46,888 is: 99,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192 : 46,888 = 46,888 : x
  2. Step 2: Convert to fraction form
    22,192/46,888 = 46,888/x
  3. Step 3: Cross multiply
    22,192x = 46,888 × 46,888
  4. Step 4: Simplify right side
    22,192x = 2,198,484,544
  5. Step 5: Solve for x
    x = 2,198,484,544/22,192
  6. Step 6: Final answer
    x = 99,066.53

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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.