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Finding the Third Proportional to 1,216.69 and 2,849.34

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Solution

The third proportional to 1,216.69 and 2,849.34 is: 6,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.69 : 2,849.34 = 2,849.34 : x
  2. Step 2: Convert to fraction form
    1,216.69/2,849.34 = 2,849.34/x
  3. Step 3: Cross multiply
    1,216.69x = 2,849.34 × 2,849.34
  4. Step 4: Simplify right side
    1,216.69x = 8,118,759.81
  5. Step 5: Solve for x
    x = 8,118,759.81/1,216.69
  6. Step 6: Final answer
    x = 6,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.