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Finding the Third Proportional to 2,835.16 and 6,162.17

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Solution

The third proportional to 2,835.16 and 6,162.17 is: 13,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.16 : 6,162.17 = 6,162.17 : x
  2. Step 2: Convert to fraction form
    2,835.16/6,162.17 = 6,162.17/x
  3. Step 3: Cross multiply
    2,835.16x = 6,162.17 × 6,162.17
  4. Step 4: Simplify right side
    2,835.16x = 37,972,338.15
  5. Step 5: Solve for x
    x = 37,972,338.15/2,835.16
  6. Step 6: Final answer
    x = 13,393.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.