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Finding the Third Proportional to 11,972.81 and 25,246.69

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Solution

The third proportional to 11,972.81 and 25,246.69 is: 53,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.81 : 25,246.69 = 25,246.69 : x
  2. Step 2: Convert to fraction form
    11,972.81/25,246.69 = 25,246.69/x
  3. Step 3: Cross multiply
    11,972.81x = 25,246.69 × 25,246.69
  4. Step 4: Simplify right side
    11,972.81x = 637,395,229.72
  5. Step 5: Solve for x
    x = 637,395,229.72/11,972.81
  6. Step 6: Final answer
    x = 53,236.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.