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Finding the Third Proportional to 27,343.69 and 44,649.56

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Solution

The third proportional to 27,343.69 and 44,649.56 is: 72,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.69 : 44,649.56 = 44,649.56 : x
  2. Step 2: Convert to fraction form
    27,343.69/44,649.56 = 44,649.56/x
  3. Step 3: Cross multiply
    27,343.69x = 44,649.56 × 44,649.56
  4. Step 4: Simplify right side
    27,343.69x = 1,993,583,431.44
  5. Step 5: Solve for x
    x = 1,993,583,431.44/27,343.69
  6. Step 6: Final answer
    x = 72,908.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.