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Finding the Third Proportional to 1,006.41 and 2,145.56

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Solution

The third proportional to 1,006.41 and 2,145.56 is: 4,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.41 : 2,145.56 = 2,145.56 : x
  2. Step 2: Convert to fraction form
    1,006.41/2,145.56 = 2,145.56/x
  3. Step 3: Cross multiply
    1,006.41x = 2,145.56 × 2,145.56
  4. Step 4: Simplify right side
    1,006.41x = 4,603,438.44
  5. Step 5: Solve for x
    x = 4,603,438.44/1,006.41
  6. Step 6: Final answer
    x = 4,574.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.