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Finding the Third Proportional to 33,021 and 77,913

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Solution

The third proportional to 33,021 and 77,913 is: 183,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021 : 77,913 = 77,913 : x
  2. Step 2: Convert to fraction form
    33,021/77,913 = 77,913/x
  3. Step 3: Cross multiply
    33,021x = 77,913 × 77,913
  4. Step 4: Simplify right side
    33,021x = 6,070,435,569
  5. Step 5: Solve for x
    x = 6,070,435,569/33,021
  6. Step 6: Final answer
    x = 183,835.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.