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Finding the Third Proportional to 4,002.75 and 5,900.63

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Solution

The third proportional to 4,002.75 and 5,900.63 is: 8,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.75 : 5,900.63 = 5,900.63 : x
  2. Step 2: Convert to fraction form
    4,002.75/5,900.63 = 5,900.63/x
  3. Step 3: Cross multiply
    4,002.75x = 5,900.63 × 5,900.63
  4. Step 4: Simplify right side
    4,002.75x = 34,817,375.39
  5. Step 5: Solve for x
    x = 34,817,375.39/4,002.75
  6. Step 6: Final answer
    x = 8,698.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.