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Finding the Third Proportional to 3,613 and 7,693

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Solution

The third proportional to 3,613 and 7,693 is: 16,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 7,693 = 7,693 : x
  2. Step 2: Convert to fraction form
    3,613/7,693 = 7,693/x
  3. Step 3: Cross multiply
    3,613x = 7,693 × 7,693
  4. Step 4: Simplify right side
    3,613x = 59,182,249
  5. Step 5: Solve for x
    x = 59,182,249/3,613
  6. Step 6: Final answer
    x = 16,380.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.