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Finding the Third Proportional to 22,618.13 and 36,964.69

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Solution

The third proportional to 22,618.13 and 36,964.69 is: 60,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.13 : 36,964.69 = 36,964.69 : x
  2. Step 2: Convert to fraction form
    22,618.13/36,964.69 = 36,964.69/x
  3. Step 3: Cross multiply
    22,618.13x = 36,964.69 × 36,964.69
  4. Step 4: Simplify right side
    22,618.13x = 1,366,388,121.97
  5. Step 5: Solve for x
    x = 1,366,388,121.97/22,618.13
  6. Step 6: Final answer
    x = 60,411.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.