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Finding the Third Proportional to 4,418.50 and 9,616.25

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Solution

The third proportional to 4,418.50 and 9,616.25 is: 20,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418.50 : 9,616.25 = 9,616.25 : x
  2. Step 2: Convert to fraction form
    4,418.50/9,616.25 = 9,616.25/x
  3. Step 3: Cross multiply
    4,418.50x = 9,616.25 × 9,616.25
  4. Step 4: Simplify right side
    4,418.50x = 92,472,264.06
  5. Step 5: Solve for x
    x = 92,472,264.06/4,418.50
  6. Step 6: Final answer
    x = 20,928.43

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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.