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Finding the Third Proportional to 24,326 and 36,663

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Solution

The third proportional to 24,326 and 36,663 is: 55,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,326 : 36,663 = 36,663 : x
  2. Step 2: Convert to fraction form
    24,326/36,663 = 36,663/x
  3. Step 3: Cross multiply
    24,326x = 36,663 × 36,663
  4. Step 4: Simplify right side
    24,326x = 1,344,175,569
  5. Step 5: Solve for x
    x = 1,344,175,569/24,326
  6. Step 6: Final answer
    x = 55,256.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.