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Finding the Third Proportional to 17,949.75 and 38,343

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Solution

The third proportional to 17,949.75 and 38,343 is: 81,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.75 : 38,343 = 38,343 : x
  2. Step 2: Convert to fraction form
    17,949.75/38,343 = 38,343/x
  3. Step 3: Cross multiply
    17,949.75x = 38,343 × 38,343
  4. Step 4: Simplify right side
    17,949.75x = 1,470,185,649
  5. Step 5: Solve for x
    x = 1,470,185,649/17,949.75
  6. Step 6: Final answer
    x = 81,905.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.