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Finding the Third Proportional to 23,205.75 and 55,884.75

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Solution

The third proportional to 23,205.75 and 55,884.75 is: 134,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.75 : 55,884.75 = 55,884.75 : x
  2. Step 2: Convert to fraction form
    23,205.75/55,884.75 = 55,884.75/x
  3. Step 3: Cross multiply
    23,205.75x = 55,884.75 × 55,884.75
  4. Step 4: Simplify right side
    23,205.75x = 3,123,105,282.56
  5. Step 5: Solve for x
    x = 3,123,105,282.56/23,205.75
  6. Step 6: Final answer
    x = 134,583.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.