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Finding the Third Proportional to 26,122.26 and 39,241.06

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Solution

The third proportional to 26,122.26 and 39,241.06 is: 58,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.26 : 39,241.06 = 39,241.06 : x
  2. Step 2: Convert to fraction form
    26,122.26/39,241.06 = 39,241.06/x
  3. Step 3: Cross multiply
    26,122.26x = 39,241.06 × 39,241.06
  4. Step 4: Simplify right side
    26,122.26x = 1,539,860,717.88
  5. Step 5: Solve for x
    x = 1,539,860,717.88/26,122.26
  6. Step 6: Final answer
    x = 58,948.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.