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Finding the Third Proportional to 24,180.19 and 36,964.69

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Solution

The third proportional to 24,180.19 and 36,964.69 is: 56,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.19 : 36,964.69 = 36,964.69 : x
  2. Step 2: Convert to fraction form
    24,180.19/36,964.69 = 36,964.69/x
  3. Step 3: Cross multiply
    24,180.19x = 36,964.69 × 36,964.69
  4. Step 4: Simplify right side
    24,180.19x = 1,366,388,121.97
  5. Step 5: Solve for x
    x = 1,366,388,121.97/24,180.19
  6. Step 6: Final answer
    x = 56,508.58

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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.