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Finding the Third Proportional to 22,076 and 52,075

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Solution

The third proportional to 22,076 and 52,075 is: 122,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076 : 52,075 = 52,075 : x
  2. Step 2: Convert to fraction form
    22,076/52,075 = 52,075/x
  3. Step 3: Cross multiply
    22,076x = 52,075 × 52,075
  4. Step 4: Simplify right side
    22,076x = 2,711,805,625
  5. Step 5: Solve for x
    x = 2,711,805,625/22,076
  6. Step 6: Final answer
    x = 122,839.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.