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Finding the Third Proportional to 4,003 and 8,435

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Solution

The third proportional to 4,003 and 8,435 is: 17,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003 : 8,435 = 8,435 : x
  2. Step 2: Convert to fraction form
    4,003/8,435 = 8,435/x
  3. Step 3: Cross multiply
    4,003x = 8,435 × 8,435
  4. Step 4: Simplify right side
    4,003x = 71,149,225
  5. Step 5: Solve for x
    x = 71,149,225/4,003
  6. Step 6: Final answer
    x = 17,773.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.