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Finding the Third Proportional to 40,968 and 56,067.50

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Solution

The third proportional to 40,968 and 56,067.50 is: 76,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,968 : 56,067.50 = 56,067.50 : x
  2. Step 2: Convert to fraction form
    40,968/56,067.50 = 56,067.50/x
  3. Step 3: Cross multiply
    40,968x = 56,067.50 × 56,067.50
  4. Step 4: Simplify right side
    40,968x = 3,143,564,556.25
  5. Step 5: Solve for x
    x = 3,143,564,556.25/40,968
  6. Step 6: Final answer
    x = 76,732.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.