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Finding the Third Proportional to 4,996.69 and 12,241.13

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Solution

The third proportional to 4,996.69 and 12,241.13 is: 29,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 12,241.13 = 12,241.13 : x
  2. Step 2: Convert to fraction form
    4,996.69/12,241.13 = 12,241.13/x
  3. Step 3: Cross multiply
    4,996.69x = 12,241.13 × 12,241.13
  4. Step 4: Simplify right side
    4,996.69x = 149,845,141.27
  5. Step 5: Solve for x
    x = 149,845,141.27/4,996.69
  6. Step 6: Final answer
    x = 29,988.90

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.