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Finding the Third Proportional to 17,922 and 37,124

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Solution

The third proportional to 17,922 and 37,124 is: 76,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922 : 37,124 = 37,124 : x
  2. Step 2: Convert to fraction form
    17,922/37,124 = 37,124/x
  3. Step 3: Cross multiply
    17,922x = 37,124 × 37,124
  4. Step 4: Simplify right side
    17,922x = 1,378,191,376
  5. Step 5: Solve for x
    x = 1,378,191,376/17,922
  6. Step 6: Final answer
    x = 76,899.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.