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Finding the Third Proportional to 4,660.88 and 7,274.81

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Solution

The third proportional to 4,660.88 and 7,274.81 is: 11,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.88 : 7,274.81 = 7,274.81 : x
  2. Step 2: Convert to fraction form
    4,660.88/7,274.81 = 7,274.81/x
  3. Step 3: Cross multiply
    4,660.88x = 7,274.81 × 7,274.81
  4. Step 4: Simplify right side
    4,660.88x = 52,922,896.91
  5. Step 5: Solve for x
    x = 52,922,896.91/4,660.88
  6. Step 6: Final answer
    x = 11,354.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.