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Finding the Third Proportional to 22,226 and 46,093

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Solution

The third proportional to 22,226 and 46,093 is: 95,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,226 : 46,093 = 46,093 : x
  2. Step 2: Convert to fraction form
    22,226/46,093 = 46,093/x
  3. Step 3: Cross multiply
    22,226x = 46,093 × 46,093
  4. Step 4: Simplify right side
    22,226x = 2,124,564,649
  5. Step 5: Solve for x
    x = 2,124,564,649/22,226
  6. Step 6: Final answer
    x = 95,589.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.