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Finding the Third Proportional to 11,378.25 and 16,979.25

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Solution

The third proportional to 11,378.25 and 16,979.25 is: 25,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.25 : 16,979.25 = 16,979.25 : x
  2. Step 2: Convert to fraction form
    11,378.25/16,979.25 = 16,979.25/x
  3. Step 3: Cross multiply
    11,378.25x = 16,979.25 × 16,979.25
  4. Step 4: Simplify right side
    11,378.25x = 288,294,930.56
  5. Step 5: Solve for x
    x = 288,294,930.56/11,378.25
  6. Step 6: Final answer
    x = 25,337.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.