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Finding the Third Proportional to 5,244.75 and 7,512.75

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Solution

The third proportional to 5,244.75 and 7,512.75 is: 10,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.75 : 7,512.75 = 7,512.75 : x
  2. Step 2: Convert to fraction form
    5,244.75/7,512.75 = 7,512.75/x
  3. Step 3: Cross multiply
    5,244.75x = 7,512.75 × 7,512.75
  4. Step 4: Simplify right side
    5,244.75x = 56,441,412.56
  5. Step 5: Solve for x
    x = 56,441,412.56/5,244.75
  6. Step 6: Final answer
    x = 10,761.51

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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.