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Finding the Third Proportional to 4,611.30 and 10,002.87

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Solution

The third proportional to 4,611.30 and 10,002.87 is: 21,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.30 : 10,002.87 = 10,002.87 : x
  2. Step 2: Convert to fraction form
    4,611.30/10,002.87 = 10,002.87/x
  3. Step 3: Cross multiply
    4,611.30x = 10,002.87 × 10,002.87
  4. Step 4: Simplify right side
    4,611.30x = 100,057,351.97
  5. Step 5: Solve for x
    x = 100,057,351.97/4,611.30
  6. Step 6: Final answer
    x = 21,698.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.