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Finding the Third Proportional to 12,538.13 and 27,236.25

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Solution

The third proportional to 12,538.13 and 27,236.25 is: 59,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 27,236.25 = 27,236.25 : x
  2. Step 2: Convert to fraction form
    12,538.13/27,236.25 = 27,236.25/x
  3. Step 3: Cross multiply
    12,538.13x = 27,236.25 × 27,236.25
  4. Step 4: Simplify right side
    12,538.13x = 741,813,314.06
  5. Step 5: Solve for x
    x = 741,813,314.06/12,538.13
  6. Step 6: Final answer
    x = 59,164.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.