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Finding the Third Proportional to 12,102.19 and 18,335.25

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Solution

The third proportional to 12,102.19 and 18,335.25 is: 27,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.19 : 18,335.25 = 18,335.25 : x
  2. Step 2: Convert to fraction form
    12,102.19/18,335.25 = 18,335.25/x
  3. Step 3: Cross multiply
    12,102.19x = 18,335.25 × 18,335.25
  4. Step 4: Simplify right side
    12,102.19x = 336,181,392.56
  5. Step 5: Solve for x
    x = 336,181,392.56/12,102.19
  6. Step 6: Final answer
    x = 27,778.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.