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Finding the Third Proportional to 21,895 and 47,075

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Solution

The third proportional to 21,895 and 47,075 is: 101,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895 : 47,075 = 47,075 : x
  2. Step 2: Convert to fraction form
    21,895/47,075 = 47,075/x
  3. Step 3: Cross multiply
    21,895x = 47,075 × 47,075
  4. Step 4: Simplify right side
    21,895x = 2,216,055,625
  5. Step 5: Solve for x
    x = 2,216,055,625/21,895
  6. Step 6: Final answer
    x = 101,212.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.