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Finding the Third Proportional to 15,075 and 22,177

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Solution

The third proportional to 15,075 and 22,177 is: 32,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 22,177 = 22,177 : x
  2. Step 2: Convert to fraction form
    15,075/22,177 = 22,177/x
  3. Step 3: Cross multiply
    15,075x = 22,177 × 22,177
  4. Step 4: Simplify right side
    15,075x = 491,819,329
  5. Step 5: Solve for x
    x = 491,819,329/15,075
  6. Step 6: Final answer
    x = 32,624.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.