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Finding the Third Proportional to 13,132.13 and 27,069.19

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Solution

The third proportional to 13,132.13 and 27,069.19 is: 55,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.13 : 27,069.19 = 27,069.19 : x
  2. Step 2: Convert to fraction form
    13,132.13/27,069.19 = 27,069.19/x
  3. Step 3: Cross multiply
    13,132.13x = 27,069.19 × 27,069.19
  4. Step 4: Simplify right side
    13,132.13x = 732,740,911.91
  5. Step 5: Solve for x
    x = 732,740,911.91/13,132.13
  6. Step 6: Final answer
    x = 55,797.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.