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Finding the Third Proportional to 2,919.66 and 6,192.56

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Solution

The third proportional to 2,919.66 and 6,192.56 is: 13,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.66 : 6,192.56 = 6,192.56 : x
  2. Step 2: Convert to fraction form
    2,919.66/6,192.56 = 6,192.56/x
  3. Step 3: Cross multiply
    2,919.66x = 6,192.56 × 6,192.56
  4. Step 4: Simplify right side
    2,919.66x = 38,347,830.32
  5. Step 5: Solve for x
    x = 38,347,830.32/2,919.66
  6. Step 6: Final answer
    x = 13,134.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.