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Finding the Third Proportional to 3,585.94 and 4,764.66

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Solution

The third proportional to 3,585.94 and 4,764.66 is: 6,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.94 : 4,764.66 = 4,764.66 : x
  2. Step 2: Convert to fraction form
    3,585.94/4,764.66 = 4,764.66/x
  3. Step 3: Cross multiply
    3,585.94x = 4,764.66 × 4,764.66
  4. Step 4: Simplify right side
    3,585.94x = 22,701,949.18
  5. Step 5: Solve for x
    x = 22,701,949.18/3,585.94
  6. Step 6: Final answer
    x = 6,330.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.