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Finding the Third Proportional to 15,093.98 and 32,781.09

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Solution

The third proportional to 15,093.98 and 32,781.09 is: 71,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.98 : 32,781.09 = 32,781.09 : x
  2. Step 2: Convert to fraction form
    15,093.98/32,781.09 = 32,781.09/x
  3. Step 3: Cross multiply
    15,093.98x = 32,781.09 × 32,781.09
  4. Step 4: Simplify right side
    15,093.98x = 1,074,600,107.45
  5. Step 5: Solve for x
    x = 1,074,600,107.45/15,093.98
  6. Step 6: Final answer
    x = 71,193.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.