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Finding the Third Proportional to 5,714 and 12,002

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Solution

The third proportional to 5,714 and 12,002 is: 25,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714 : 12,002 = 12,002 : x
  2. Step 2: Convert to fraction form
    5,714/12,002 = 12,002/x
  3. Step 3: Cross multiply
    5,714x = 12,002 × 12,002
  4. Step 4: Simplify right side
    5,714x = 144,048,004
  5. Step 5: Solve for x
    x = 144,048,004/5,714
  6. Step 6: Final answer
    x = 25,209.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.