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Finding the Third Proportional to 11,972.81 and 26,036.44

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Solution

The third proportional to 11,972.81 and 26,036.44 is: 56,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.81 : 26,036.44 = 26,036.44 : x
  2. Step 2: Convert to fraction form
    11,972.81/26,036.44 = 26,036.44/x
  3. Step 3: Cross multiply
    11,972.81x = 26,036.44 × 26,036.44
  4. Step 4: Simplify right side
    11,972.81x = 677,896,077.69
  5. Step 5: Solve for x
    x = 677,896,077.69/11,972.81
  6. Step 6: Final answer
    x = 56,619.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.