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Finding the Third Proportional to 9,451 and 22,075

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Solution

The third proportional to 9,451 and 22,075 is: 51,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451 : 22,075 = 22,075 : x
  2. Step 2: Convert to fraction form
    9,451/22,075 = 22,075/x
  3. Step 3: Cross multiply
    9,451x = 22,075 × 22,075
  4. Step 4: Simplify right side
    9,451x = 487,305,625
  5. Step 5: Solve for x
    x = 487,305,625/9,451
  6. Step 6: Final answer
    x = 51,561.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.