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Finding the Third Proportional to 26,408.25 and 39,476.25

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Solution

The third proportional to 26,408.25 and 39,476.25 is: 59,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408.25 : 39,476.25 = 39,476.25 : x
  2. Step 2: Convert to fraction form
    26,408.25/39,476.25 = 39,476.25/x
  3. Step 3: Cross multiply
    26,408.25x = 39,476.25 × 39,476.25
  4. Step 4: Simplify right side
    26,408.25x = 1,558,374,314.06
  5. Step 5: Solve for x
    x = 1,558,374,314.06/26,408.25
  6. Step 6: Final answer
    x = 59,010.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.