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Finding the Third Proportional to 2,917.69 and 6,927.19

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Solution

The third proportional to 2,917.69 and 6,927.19 is: 16,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.69 : 6,927.19 = 6,927.19 : x
  2. Step 2: Convert to fraction form
    2,917.69/6,927.19 = 6,927.19/x
  3. Step 3: Cross multiply
    2,917.69x = 6,927.19 × 6,927.19
  4. Step 4: Simplify right side
    2,917.69x = 47,985,926.66
  5. Step 5: Solve for x
    x = 47,985,926.66/2,917.69
  6. Step 6: Final answer
    x = 16,446.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.