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Finding the Third Proportional to 7,649.44 and 10,914.75

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Solution

The third proportional to 7,649.44 and 10,914.75 is: 15,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.44 : 10,914.75 = 10,914.75 : x
  2. Step 2: Convert to fraction form
    7,649.44/10,914.75 = 10,914.75/x
  3. Step 3: Cross multiply
    7,649.44x = 10,914.75 × 10,914.75
  4. Step 4: Simplify right side
    7,649.44x = 119,131,767.56
  5. Step 5: Solve for x
    x = 119,131,767.56/7,649.44
  6. Step 6: Final answer
    x = 15,573.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.