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Finding the Third Proportional to 17,781.75 and 24,111

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Solution

The third proportional to 17,781.75 and 24,111 is: 32,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.75 : 24,111 = 24,111 : x
  2. Step 2: Convert to fraction form
    17,781.75/24,111 = 24,111/x
  3. Step 3: Cross multiply
    17,781.75x = 24,111 × 24,111
  4. Step 4: Simplify right side
    17,781.75x = 581,340,321
  5. Step 5: Solve for x
    x = 581,340,321/17,781.75
  6. Step 6: Final answer
    x = 32,693.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.