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Finding the Third Proportional to 24,183 and 54,317.50

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Solution

The third proportional to 24,183 and 54,317.50 is: 122,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183 : 54,317.50 = 54,317.50 : x
  2. Step 2: Convert to fraction form
    24,183/54,317.50 = 54,317.50/x
  3. Step 3: Cross multiply
    24,183x = 54,317.50 × 54,317.50
  4. Step 4: Simplify right side
    24,183x = 2,950,390,806.25
  5. Step 5: Solve for x
    x = 2,950,390,806.25/24,183
  6. Step 6: Final answer
    x = 122,002.68

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.