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Finding the Third Proportional to 2,006.44 and 2,587.78

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Solution

The third proportional to 2,006.44 and 2,587.78 is: 3,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.44 : 2,587.78 = 2,587.78 : x
  2. Step 2: Convert to fraction form
    2,006.44/2,587.78 = 2,587.78/x
  3. Step 3: Cross multiply
    2,006.44x = 2,587.78 × 2,587.78
  4. Step 4: Simplify right side
    2,006.44x = 6,696,611.80
  5. Step 5: Solve for x
    x = 6,696,611.80/2,006.44
  6. Step 6: Final answer
    x = 3,337.56

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.