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Finding the Third Proportional to 22,458 and 47,644

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Solution

The third proportional to 22,458 and 47,644 is: 101,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458 : 47,644 = 47,644 : x
  2. Step 2: Convert to fraction form
    22,458/47,644 = 47,644/x
  3. Step 3: Cross multiply
    22,458x = 47,644 × 47,644
  4. Step 4: Simplify right side
    22,458x = 2,269,950,736
  5. Step 5: Solve for x
    x = 2,269,950,736/22,458
  6. Step 6: Final answer
    x = 101,075.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.