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Finding the Third Proportional to 21,294 and 33,696

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Solution

The third proportional to 21,294 and 33,696 is: 53,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294 : 33,696 = 33,696 : x
  2. Step 2: Convert to fraction form
    21,294/33,696 = 33,696/x
  3. Step 3: Cross multiply
    21,294x = 33,696 × 33,696
  4. Step 4: Simplify right side
    21,294x = 1,135,420,416
  5. Step 5: Solve for x
    x = 1,135,420,416/21,294
  6. Step 6: Final answer
    x = 53,321.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.