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Finding the Third Proportional to 2,917.69 and 5,901.19

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Solution

The third proportional to 2,917.69 and 5,901.19 is: 11,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.69 : 5,901.19 = 5,901.19 : x
  2. Step 2: Convert to fraction form
    2,917.69/5,901.19 = 5,901.19/x
  3. Step 3: Cross multiply
    2,917.69x = 5,901.19 × 5,901.19
  4. Step 4: Simplify right side
    2,917.69x = 34,824,013.91
  5. Step 5: Solve for x
    x = 34,824,013.91/2,917.69
  6. Step 6: Final answer
    x = 11,935.48

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.