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Finding the Third Proportional to 3,113.44 and 5,216.91

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Solution

The third proportional to 3,113.44 and 5,216.91 is: 8,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.44 : 5,216.91 = 5,216.91 : x
  2. Step 2: Convert to fraction form
    3,113.44/5,216.91 = 5,216.91/x
  3. Step 3: Cross multiply
    3,113.44x = 5,216.91 × 5,216.91
  4. Step 4: Simplify right side
    3,113.44x = 27,216,110.82
  5. Step 5: Solve for x
    x = 27,216,110.82/3,113.44
  6. Step 6: Final answer
    x = 8,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.