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Finding the Third Proportional to 9,402.75 and 22,272.75

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Solution

The third proportional to 9,402.75 and 22,272.75 is: 52,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.75 : 22,272.75 = 22,272.75 : x
  2. Step 2: Convert to fraction form
    9,402.75/22,272.75 = 22,272.75/x
  3. Step 3: Cross multiply
    9,402.75x = 22,272.75 × 22,272.75
  4. Step 4: Simplify right side
    9,402.75x = 496,075,392.56
  5. Step 5: Solve for x
    x = 496,075,392.56/9,402.75
  6. Step 6: Final answer
    x = 52,758.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.