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Finding the Third Proportional to 4,419 and 9,616.78

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Solution

The third proportional to 4,419 and 9,616.78 is: 20,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419 : 9,616.78 = 9,616.78 : x
  2. Step 2: Convert to fraction form
    4,419/9,616.78 = 9,616.78/x
  3. Step 3: Cross multiply
    4,419x = 9,616.78 × 9,616.78
  4. Step 4: Simplify right side
    4,419x = 92,482,481.61
  5. Step 5: Solve for x
    x = 92,482,481.61/4,419
  6. Step 6: Final answer
    x = 20,928.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.