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Finding the Third Proportional to 10,879.31 and 16,278.47

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Solution

The third proportional to 10,879.31 and 16,278.47 is: 24,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.31 : 16,278.47 = 16,278.47 : x
  2. Step 2: Convert to fraction form
    10,879.31/16,278.47 = 16,278.47/x
  3. Step 3: Cross multiply
    10,879.31x = 16,278.47 × 16,278.47
  4. Step 4: Simplify right side
    10,879.31x = 264,988,544.84
  5. Step 5: Solve for x
    x = 264,988,544.84/10,879.31
  6. Step 6: Final answer
    x = 24,357.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.