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Finding the Third Proportional to 24,073.45 and 36,182.95

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Solution

The third proportional to 24,073.45 and 36,182.95 is: 54,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.45 : 36,182.95 = 36,182.95 : x
  2. Step 2: Convert to fraction form
    24,073.45/36,182.95 = 36,182.95/x
  3. Step 3: Cross multiply
    24,073.45x = 36,182.95 × 36,182.95
  4. Step 4: Simplify right side
    24,073.45x = 1,309,206,096.85
  5. Step 5: Solve for x
    x = 1,309,206,096.85/24,073.45
  6. Step 6: Final answer
    x = 54,383.81

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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.