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Finding the Third Proportional to 12,097.13 and 26,579.25

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Solution

The third proportional to 12,097.13 and 26,579.25 is: 58,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.13 : 26,579.25 = 26,579.25 : x
  2. Step 2: Convert to fraction form
    12,097.13/26,579.25 = 26,579.25/x
  3. Step 3: Cross multiply
    12,097.13x = 26,579.25 × 26,579.25
  4. Step 4: Simplify right side
    12,097.13x = 706,456,530.56
  5. Step 5: Solve for x
    x = 706,456,530.56/12,097.13
  6. Step 6: Final answer
    x = 58,398.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.