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Finding the Third Proportional to 21,696 and 43,996.50

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Solution

The third proportional to 21,696 and 43,996.50 is: 89,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696 : 43,996.50 = 43,996.50 : x
  2. Step 2: Convert to fraction form
    21,696/43,996.50 = 43,996.50/x
  3. Step 3: Cross multiply
    21,696x = 43,996.50 × 43,996.50
  4. Step 4: Simplify right side
    21,696x = 1,935,692,012.25
  5. Step 5: Solve for x
    x = 1,935,692,012.25/21,696
  6. Step 6: Final answer
    x = 89,218.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.