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Finding the Third Proportional to 26,507.25 and 36,480.38

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Solution

The third proportional to 26,507.25 and 36,480.38 is: 50,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.25 : 36,480.38 = 36,480.38 : x
  2. Step 2: Convert to fraction form
    26,507.25/36,480.38 = 36,480.38/x
  3. Step 3: Cross multiply
    26,507.25x = 36,480.38 × 36,480.38
  4. Step 4: Simplify right side
    26,507.25x = 1,330,817,760.14
  5. Step 5: Solve for x
    x = 1,330,817,760.14/26,507.25
  6. Step 6: Final answer
    x = 50,205.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.