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Finding the Third Proportional to 22,941 and 35,273

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Solution

The third proportional to 22,941 and 35,273 is: 54,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941 : 35,273 = 35,273 : x
  2. Step 2: Convert to fraction form
    22,941/35,273 = 35,273/x
  3. Step 3: Cross multiply
    22,941x = 35,273 × 35,273
  4. Step 4: Simplify right side
    22,941x = 1,244,184,529
  5. Step 5: Solve for x
    x = 1,244,184,529/22,941
  6. Step 6: Final answer
    x = 54,234.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.