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Finding the Third Proportional to 22,637 and 50,458

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Solution

The third proportional to 22,637 and 50,458 is: 112,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637 : 50,458 = 50,458 : x
  2. Step 2: Convert to fraction form
    22,637/50,458 = 50,458/x
  3. Step 3: Cross multiply
    22,637x = 50,458 × 50,458
  4. Step 4: Simplify right side
    22,637x = 2,546,009,764
  5. Step 5: Solve for x
    x = 2,546,009,764/22,637
  6. Step 6: Final answer
    x = 112,471.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.