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Finding the Third Proportional to 2,710.69 and 5,917.69

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Solution

The third proportional to 2,710.69 and 5,917.69 is: 12,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.69 : 5,917.69 = 5,917.69 : x
  2. Step 2: Convert to fraction form
    2,710.69/5,917.69 = 5,917.69/x
  3. Step 3: Cross multiply
    2,710.69x = 5,917.69 × 5,917.69
  4. Step 4: Simplify right side
    2,710.69x = 35,019,025.35
  5. Step 5: Solve for x
    x = 35,019,025.35/2,710.69
  6. Step 6: Final answer
    x = 12,918.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.