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Finding the Third Proportional to 23,824.13 and 40,231.69

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Solution

The third proportional to 23,824.13 and 40,231.69 is: 67,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.13 : 40,231.69 = 40,231.69 : x
  2. Step 2: Convert to fraction form
    23,824.13/40,231.69 = 40,231.69/x
  3. Step 3: Cross multiply
    23,824.13x = 40,231.69 × 40,231.69
  4. Step 4: Simplify right side
    23,824.13x = 1,618,588,679.10
  5. Step 5: Solve for x
    x = 1,618,588,679.10/23,824.13
  6. Step 6: Final answer
    x = 67,939.06

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.