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Finding the Third Proportional to 3,703 and 8,000

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Solution

The third proportional to 3,703 and 8,000 is: 17,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703 : 8,000 = 8,000 : x
  2. Step 2: Convert to fraction form
    3,703/8,000 = 8,000/x
  3. Step 3: Cross multiply
    3,703x = 8,000 × 8,000
  4. Step 4: Simplify right side
    3,703x = 64,000,000
  5. Step 5: Solve for x
    x = 64,000,000/3,703
  6. Step 6: Final answer
    x = 17,283.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.