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Finding the Third Proportional to 4,468.50 and 6,064.88

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Solution

The third proportional to 4,468.50 and 6,064.88 is: 8,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.50 : 6,064.88 = 6,064.88 : x
  2. Step 2: Convert to fraction form
    4,468.50/6,064.88 = 6,064.88/x
  3. Step 3: Cross multiply
    4,468.50x = 6,064.88 × 6,064.88
  4. Step 4: Simplify right side
    4,468.50x = 36,782,708.77
  5. Step 5: Solve for x
    x = 36,782,708.77/4,468.50
  6. Step 6: Final answer
    x = 8,231.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.