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Finding the Third Proportional to 27,022 and 40,424.50

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Solution

The third proportional to 27,022 and 40,424.50 is: 60,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022 : 40,424.50 = 40,424.50 : x
  2. Step 2: Convert to fraction form
    27,022/40,424.50 = 40,424.50/x
  3. Step 3: Cross multiply
    27,022x = 40,424.50 × 40,424.50
  4. Step 4: Simplify right side
    27,022x = 1,634,140,200.25
  5. Step 5: Solve for x
    x = 1,634,140,200.25/27,022
  6. Step 6: Final answer
    x = 60,474.44

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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.