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Finding the Third Proportional to 12,165.19 and 26,859.09

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Solution

The third proportional to 12,165.19 and 26,859.09 is: 59,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 26,859.09 = 26,859.09 : x
  2. Step 2: Convert to fraction form
    12,165.19/26,859.09 = 26,859.09/x
  3. Step 3: Cross multiply
    12,165.19x = 26,859.09 × 26,859.09
  4. Step 4: Simplify right side
    12,165.19x = 721,410,917.07
  5. Step 5: Solve for x
    x = 721,410,917.07/12,165.19
  6. Step 6: Final answer
    x = 59,301.26

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.