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Finding the Third Proportional to 17,209.13 and 27,415.13

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Solution

The third proportional to 17,209.13 and 27,415.13 is: 43,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.13 : 27,415.13 = 27,415.13 : x
  2. Step 2: Convert to fraction form
    17,209.13/27,415.13 = 27,415.13/x
  3. Step 3: Cross multiply
    17,209.13x = 27,415.13 × 27,415.13
  4. Step 4: Simplify right side
    17,209.13x = 751,589,078.77
  5. Step 5: Solve for x
    x = 751,589,078.77/17,209.13
  6. Step 6: Final answer
    x = 43,673.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.