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Finding the Third Proportional to 24,183.50 and 36,970

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Solution

The third proportional to 24,183.50 and 36,970 is: 56,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.50 : 36,970 = 36,970 : x
  2. Step 2: Convert to fraction form
    24,183.50/36,970 = 36,970/x
  3. Step 3: Cross multiply
    24,183.50x = 36,970 × 36,970
  4. Step 4: Simplify right side
    24,183.50x = 1,366,780,900
  5. Step 5: Solve for x
    x = 1,366,780,900/24,183.50
  6. Step 6: Final answer
    x = 56,517.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.