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Finding the Third Proportional to 9,186 and 21,075

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Solution

The third proportional to 9,186 and 21,075 is: 48,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 21,075 = 21,075 : x
  2. Step 2: Convert to fraction form
    9,186/21,075 = 21,075/x
  3. Step 3: Cross multiply
    9,186x = 21,075 × 21,075
  4. Step 4: Simplify right side
    9,186x = 444,155,625
  5. Step 5: Solve for x
    x = 444,155,625/9,186
  6. Step 6: Final answer
    x = 48,351.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.