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Finding the Third Proportional to 7,644.38 and 11,753.44

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Solution

The third proportional to 7,644.38 and 11,753.44 is: 18,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.38 : 11,753.44 = 11,753.44 : x
  2. Step 2: Convert to fraction form
    7,644.38/11,753.44 = 11,753.44/x
  3. Step 3: Cross multiply
    7,644.38x = 11,753.44 × 11,753.44
  4. Step 4: Simplify right side
    7,644.38x = 138,143,293.07
  5. Step 5: Solve for x
    x = 138,143,293.07/7,644.38
  6. Step 6: Final answer
    x = 18,071.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.