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Finding the Third Proportional to 11,098.69 and 14,976.56

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Solution

The third proportional to 11,098.69 and 14,976.56 is: 20,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.69 : 14,976.56 = 14,976.56 : x
  2. Step 2: Convert to fraction form
    11,098.69/14,976.56 = 14,976.56/x
  3. Step 3: Cross multiply
    11,098.69x = 14,976.56 × 14,976.56
  4. Step 4: Simplify right side
    11,098.69x = 224,297,424.32
  5. Step 5: Solve for x
    x = 224,297,424.32/11,098.69
  6. Step 6: Final answer
    x = 20,209.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.