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Finding the Third Proportional to 17,960 and 39,540

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Solution

The third proportional to 17,960 and 39,540 is: 87,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960 : 39,540 = 39,540 : x
  2. Step 2: Convert to fraction form
    17,960/39,540 = 39,540/x
  3. Step 3: Cross multiply
    17,960x = 39,540 × 39,540
  4. Step 4: Simplify right side
    17,960x = 1,563,411,600
  5. Step 5: Solve for x
    x = 1,563,411,600/17,960
  6. Step 6: Final answer
    x = 87,049.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.