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Finding the Third Proportional to 2,964.52 and 4,438.97

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Solution

The third proportional to 2,964.52 and 4,438.97 is: 6,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.52 : 4,438.97 = 4,438.97 : x
  2. Step 2: Convert to fraction form
    2,964.52/4,438.97 = 4,438.97/x
  3. Step 3: Cross multiply
    2,964.52x = 4,438.97 × 4,438.97
  4. Step 4: Simplify right side
    2,964.52x = 19,704,443.56
  5. Step 5: Solve for x
    x = 19,704,443.56/2,964.52
  6. Step 6: Final answer
    x = 6,646.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.