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Finding the Third Proportional to 7,872.19 and 11,221.03

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Solution

The third proportional to 7,872.19 and 11,221.03 is: 15,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.19 : 11,221.03 = 11,221.03 : x
  2. Step 2: Convert to fraction form
    7,872.19/11,221.03 = 11,221.03/x
  3. Step 3: Cross multiply
    7,872.19x = 11,221.03 × 11,221.03
  4. Step 4: Simplify right side
    7,872.19x = 125,911,542.31
  5. Step 5: Solve for x
    x = 125,911,542.31/7,872.19
  6. Step 6: Final answer
    x = 15,994.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.