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Finding the Third Proportional to 17,960 and 39,184

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Solution

The third proportional to 17,960 and 39,184 is: 85,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960 : 39,184 = 39,184 : x
  2. Step 2: Convert to fraction form
    17,960/39,184 = 39,184/x
  3. Step 3: Cross multiply
    17,960x = 39,184 × 39,184
  4. Step 4: Simplify right side
    17,960x = 1,535,385,856
  5. Step 5: Solve for x
    x = 1,535,385,856/17,960
  6. Step 6: Final answer
    x = 85,489.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.