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Finding the Third Proportional to 1,006.52 and 2,161.90

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Solution

The third proportional to 1,006.52 and 2,161.90 is: 4,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.52 : 2,161.90 = 2,161.90 : x
  2. Step 2: Convert to fraction form
    1,006.52/2,161.90 = 2,161.90/x
  3. Step 3: Cross multiply
    1,006.52x = 2,161.90 × 2,161.90
  4. Step 4: Simplify right side
    1,006.52x = 4,673,804.85
  5. Step 5: Solve for x
    x = 4,673,804.85/1,006.52
  6. Step 6: Final answer
    x = 4,643.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.