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Finding the Third Proportional to 22,376.25 and 34,161.75

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Solution

The third proportional to 22,376.25 and 34,161.75 is: 52,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.25 : 34,161.75 = 34,161.75 : x
  2. Step 2: Convert to fraction form
    22,376.25/34,161.75 = 34,161.75/x
  3. Step 3: Cross multiply
    22,376.25x = 34,161.75 × 34,161.75
  4. Step 4: Simplify right side
    22,376.25x = 1,167,025,163.06
  5. Step 5: Solve for x
    x = 1,167,025,163.06/22,376.25
  6. Step 6: Final answer
    x = 52,154.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.