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Finding the Third Proportional to 2,006.63 and 4,377.75

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Solution

The third proportional to 2,006.63 and 4,377.75 is: 9,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.63 : 4,377.75 = 4,377.75 : x
  2. Step 2: Convert to fraction form
    2,006.63/4,377.75 = 4,377.75/x
  3. Step 3: Cross multiply
    2,006.63x = 4,377.75 × 4,377.75
  4. Step 4: Simplify right side
    2,006.63x = 19,164,695.06
  5. Step 5: Solve for x
    x = 19,164,695.06/2,006.63
  6. Step 6: Final answer
    x = 9,550.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.