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Finding the Third Proportional to 3,330.28 and 4,733.86

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Solution

The third proportional to 3,330.28 and 4,733.86 is: 6,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.28 : 4,733.86 = 4,733.86 : x
  2. Step 2: Convert to fraction form
    3,330.28/4,733.86 = 4,733.86/x
  3. Step 3: Cross multiply
    3,330.28x = 4,733.86 × 4,733.86
  4. Step 4: Simplify right side
    3,330.28x = 22,409,424.58
  5. Step 5: Solve for x
    x = 22,409,424.58/3,330.28
  6. Step 6: Final answer
    x = 6,728.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.