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Finding the Third Proportional to 5,221.88 and 7,544.63

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Solution

The third proportional to 5,221.88 and 7,544.63 is: 10,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.88 : 7,544.63 = 7,544.63 : x
  2. Step 2: Convert to fraction form
    5,221.88/7,544.63 = 7,544.63/x
  3. Step 3: Cross multiply
    5,221.88x = 7,544.63 × 7,544.63
  4. Step 4: Simplify right side
    5,221.88x = 56,921,366.39
  5. Step 5: Solve for x
    x = 56,921,366.39/5,221.88
  6. Step 6: Final answer
    x = 10,900.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.