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Finding the Third Proportional to 17,344.13 and 32,091.19

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Solution

The third proportional to 17,344.13 and 32,091.19 is: 59,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.13 : 32,091.19 = 32,091.19 : x
  2. Step 2: Convert to fraction form
    17,344.13/32,091.19 = 32,091.19/x
  3. Step 3: Cross multiply
    17,344.13x = 32,091.19 × 32,091.19
  4. Step 4: Simplify right side
    17,344.13x = 1,029,844,315.16
  5. Step 5: Solve for x
    x = 1,029,844,315.16/17,344.13
  6. Step 6: Final answer
    x = 59,377.13

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.