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Finding the Third Proportional to 11,836.13 and 15,384.94

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Solution

The third proportional to 11,836.13 and 15,384.94 is: 19,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.13 : 15,384.94 = 15,384.94 : x
  2. Step 2: Convert to fraction form
    11,836.13/15,384.94 = 15,384.94/x
  3. Step 3: Cross multiply
    11,836.13x = 15,384.94 × 15,384.94
  4. Step 4: Simplify right side
    11,836.13x = 236,696,301.88
  5. Step 5: Solve for x
    x = 236,696,301.88/11,836.13
  6. Step 6: Final answer
    x = 19,997.79

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.