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Finding the Third Proportional to 13,845 and 29,503

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Solution

The third proportional to 13,845 and 29,503 is: 62,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845 : 29,503 = 29,503 : x
  2. Step 2: Convert to fraction form
    13,845/29,503 = 29,503/x
  3. Step 3: Cross multiply
    13,845x = 29,503 × 29,503
  4. Step 4: Simplify right side
    13,845x = 870,427,009
  5. Step 5: Solve for x
    x = 870,427,009/13,845
  6. Step 6: Final answer
    x = 62,869.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.