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Finding the Third Proportional to 10,174.78 and 21,996.14

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Solution

The third proportional to 10,174.78 and 21,996.14 is: 47,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.78 : 21,996.14 = 21,996.14 : x
  2. Step 2: Convert to fraction form
    10,174.78/21,996.14 = 21,996.14/x
  3. Step 3: Cross multiply
    10,174.78x = 21,996.14 × 21,996.14
  4. Step 4: Simplify right side
    10,174.78x = 483,830,202.39
  5. Step 5: Solve for x
    x = 483,830,202.39/10,174.78
  6. Step 6: Final answer
    x = 47,551.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.