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Finding the Third Proportional to 52,023.75 and 77,893.13

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Solution

The third proportional to 52,023.75 and 77,893.13 is: 116,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023.75 : 77,893.13 = 77,893.13 : x
  2. Step 2: Convert to fraction form
    52,023.75/77,893.13 = 77,893.13/x
  3. Step 3: Cross multiply
    52,023.75x = 77,893.13 × 77,893.13
  4. Step 4: Simplify right side
    52,023.75x = 6,067,338,922.27
  5. Step 5: Solve for x
    x = 6,067,338,922.27/52,023.75
  6. Step 6: Final answer
    x = 116,626.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.