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Finding the Third Proportional to 12,359.25 and 29,163

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Solution

The third proportional to 12,359.25 and 29,163 is: 68,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.25 : 29,163 = 29,163 : x
  2. Step 2: Convert to fraction form
    12,359.25/29,163 = 29,163/x
  3. Step 3: Cross multiply
    12,359.25x = 29,163 × 29,163
  4. Step 4: Simplify right side
    12,359.25x = 850,480,569
  5. Step 5: Solve for x
    x = 850,480,569/12,359.25
  6. Step 6: Final answer
    x = 68,813.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.