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Finding the Third Proportional to 18,131.25 and 26,408.25

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Solution

The third proportional to 18,131.25 and 26,408.25 is: 38,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.25 : 26,408.25 = 26,408.25 : x
  2. Step 2: Convert to fraction form
    18,131.25/26,408.25 = 26,408.25/x
  3. Step 3: Cross multiply
    18,131.25x = 26,408.25 × 26,408.25
  4. Step 4: Simplify right side
    18,131.25x = 697,395,668.06
  5. Step 5: Solve for x
    x = 697,395,668.06/18,131.25
  6. Step 6: Final answer
    x = 38,463.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.