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Finding the Third Proportional to 4,996.69 and 10,972.97

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Solution

The third proportional to 4,996.69 and 10,972.97 is: 24,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 10,972.97 = 10,972.97 : x
  2. Step 2: Convert to fraction form
    4,996.69/10,972.97 = 10,972.97/x
  3. Step 3: Cross multiply
    4,996.69x = 10,972.97 × 10,972.97
  4. Step 4: Simplify right side
    4,996.69x = 120,406,043.19
  5. Step 5: Solve for x
    x = 120,406,043.19/4,996.69
  6. Step 6: Final answer
    x = 24,097.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.