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Finding the Third Proportional to 17,950 and 39,306

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Solution

The third proportional to 17,950 and 39,306 is: 86,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,950 : 39,306 = 39,306 : x
  2. Step 2: Convert to fraction form
    17,950/39,306 = 39,306/x
  3. Step 3: Cross multiply
    17,950x = 39,306 × 39,306
  4. Step 4: Simplify right side
    17,950x = 1,544,961,636
  5. Step 5: Solve for x
    x = 1,544,961,636/17,950
  6. Step 6: Final answer
    x = 86,070.29

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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.