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Finding the Third Proportional to 17,842.75 and 38,426

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Solution

The third proportional to 17,842.75 and 38,426 is: 82,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.75 : 38,426 = 38,426 : x
  2. Step 2: Convert to fraction form
    17,842.75/38,426 = 38,426/x
  3. Step 3: Cross multiply
    17,842.75x = 38,426 × 38,426
  4. Step 4: Simplify right side
    17,842.75x = 1,476,557,476
  5. Step 5: Solve for x
    x = 1,476,557,476/17,842.75
  6. Step 6: Final answer
    x = 82,753.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.