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Finding the Third Proportional to 5,519.25 and 8,444.63

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Solution

The third proportional to 5,519.25 and 8,444.63 is: 12,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.25 : 8,444.63 = 8,444.63 : x
  2. Step 2: Convert to fraction form
    5,519.25/8,444.63 = 8,444.63/x
  3. Step 3: Cross multiply
    5,519.25x = 8,444.63 × 8,444.63
  4. Step 4: Simplify right side
    5,519.25x = 71,311,691.39
  5. Step 5: Solve for x
    x = 71,311,691.39/5,519.25
  6. Step 6: Final answer
    x = 12,920.54

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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.