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Finding the Third Proportional to 26,425.13 and 35,992.13

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Solution

The third proportional to 26,425.13 and 35,992.13 is: 49,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,425.13 : 35,992.13 = 35,992.13 : x
  2. Step 2: Convert to fraction form
    26,425.13/35,992.13 = 35,992.13/x
  3. Step 3: Cross multiply
    26,425.13x = 35,992.13 × 35,992.13
  4. Step 4: Simplify right side
    26,425.13x = 1,295,433,062.02
  5. Step 5: Solve for x
    x = 1,295,433,062.02/26,425.13
  6. Step 6: Final answer
    x = 49,022.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.