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Finding the Third Proportional to 9,601 and 22,240.75

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Solution

The third proportional to 9,601 and 22,240.75 is: 51,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601 : 22,240.75 = 22,240.75 : x
  2. Step 2: Convert to fraction form
    9,601/22,240.75 = 22,240.75/x
  3. Step 3: Cross multiply
    9,601x = 22,240.75 × 22,240.75
  4. Step 4: Simplify right side
    9,601x = 494,650,960.56
  5. Step 5: Solve for x
    x = 494,650,960.56/9,601
  6. Step 6: Final answer
    x = 51,520.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.