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Finding the Third Proportional to 11,193.19 and 15,919.03

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Solution

The third proportional to 11,193.19 and 15,919.03 is: 22,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.19 : 15,919.03 = 15,919.03 : x
  2. Step 2: Convert to fraction form
    11,193.19/15,919.03 = 15,919.03/x
  3. Step 3: Cross multiply
    11,193.19x = 15,919.03 × 15,919.03
  4. Step 4: Simplify right side
    11,193.19x = 253,415,555.94
  5. Step 5: Solve for x
    x = 253,415,555.94/11,193.19
  6. Step 6: Final answer
    x = 22,640.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.