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Finding the Third Proportional to 17,942 and 39,304

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Solution

The third proportional to 17,942 and 39,304 is: 86,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942 : 39,304 = 39,304 : x
  2. Step 2: Convert to fraction form
    17,942/39,304 = 39,304/x
  3. Step 3: Cross multiply
    17,942x = 39,304 × 39,304
  4. Step 4: Simplify right side
    17,942x = 1,544,804,416
  5. Step 5: Solve for x
    x = 1,544,804,416/17,942
  6. Step 6: Final answer
    x = 86,099.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.