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Finding the Third Proportional to 22,453.75 and 34,616.75

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Solution

The third proportional to 22,453.75 and 34,616.75 is: 53,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.75 : 34,616.75 = 34,616.75 : x
  2. Step 2: Convert to fraction form
    22,453.75/34,616.75 = 34,616.75/x
  3. Step 3: Cross multiply
    22,453.75x = 34,616.75 × 34,616.75
  4. Step 4: Simplify right side
    22,453.75x = 1,198,319,380.56
  5. Step 5: Solve for x
    x = 1,198,319,380.56/22,453.75
  6. Step 6: Final answer
    x = 53,368.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.