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Finding the Third Proportional to 2,775.52 and 6,006.66

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Solution

The third proportional to 2,775.52 and 6,006.66 is: 12,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.52 : 6,006.66 = 6,006.66 : x
  2. Step 2: Convert to fraction form
    2,775.52/6,006.66 = 6,006.66/x
  3. Step 3: Cross multiply
    2,775.52x = 6,006.66 × 6,006.66
  4. Step 4: Simplify right side
    2,775.52x = 36,079,919.31
  5. Step 5: Solve for x
    x = 36,079,919.31/2,775.52
  6. Step 6: Final answer
    x = 12,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.