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Finding the Third Proportional to 21,093 and 43,239

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Solution

The third proportional to 21,093 and 43,239 is: 88,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093 : 43,239 = 43,239 : x
  2. Step 2: Convert to fraction form
    21,093/43,239 = 43,239/x
  3. Step 3: Cross multiply
    21,093x = 43,239 × 43,239
  4. Step 4: Simplify right side
    21,093x = 1,869,611,121
  5. Step 5: Solve for x
    x = 1,869,611,121/21,093
  6. Step 6: Final answer
    x = 88,636.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.