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Finding the Third Proportional to 17,940 and 39,228

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Solution

The third proportional to 17,940 and 39,228 is: 85,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940 : 39,228 = 39,228 : x
  2. Step 2: Convert to fraction form
    17,940/39,228 = 39,228/x
  3. Step 3: Cross multiply
    17,940x = 39,228 × 39,228
  4. Step 4: Simplify right side
    17,940x = 1,538,835,984
  5. Step 5: Solve for x
    x = 1,538,835,984/17,940
  6. Step 6: Final answer
    x = 85,776.81

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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.