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Finding the Third Proportional to 12,286.69 and 23,343.19

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Solution

The third proportional to 12,286.69 and 23,343.19 is: 44,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 23,343.19 = 23,343.19 : x
  2. Step 2: Convert to fraction form
    12,286.69/23,343.19 = 23,343.19/x
  3. Step 3: Cross multiply
    12,286.69x = 23,343.19 × 23,343.19
  4. Step 4: Simplify right side
    12,286.69x = 544,904,402.66
  5. Step 5: Solve for x
    x = 544,904,402.66/12,286.69
  6. Step 6: Final answer
    x = 44,349.17

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.