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Finding the Third Proportional to 12,938 and 21,818

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Solution

The third proportional to 12,938 and 21,818 is: 36,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938 : 21,818 = 21,818 : x
  2. Step 2: Convert to fraction form
    12,938/21,818 = 21,818/x
  3. Step 3: Cross multiply
    12,938x = 21,818 × 21,818
  4. Step 4: Simplify right side
    12,938x = 476,025,124
  5. Step 5: Solve for x
    x = 476,025,124/12,938
  6. Step 6: Final answer
    x = 36,792.79

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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.