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Finding the Third Proportional to 38,661 and 84,693

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Solution

The third proportional to 38,661 and 84,693 is: 185,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661 : 84,693 = 84,693 : x
  2. Step 2: Convert to fraction form
    38,661/84,693 = 84,693/x
  3. Step 3: Cross multiply
    38,661x = 84,693 × 84,693
  4. Step 4: Simplify right side
    38,661x = 7,172,904,249
  5. Step 5: Solve for x
    x = 7,172,904,249/38,661
  6. Step 6: Final answer
    x = 185,533.33

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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.