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Finding the Third Proportional to 3,614 and 7,984

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Solution

The third proportional to 3,614 and 7,984 is: 17,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 7,984 = 7,984 : x
  2. Step 2: Convert to fraction form
    3,614/7,984 = 7,984/x
  3. Step 3: Cross multiply
    3,614x = 7,984 × 7,984
  4. Step 4: Simplify right side
    3,614x = 63,744,256
  5. Step 5: Solve for x
    x = 63,744,256/3,614
  6. Step 6: Final answer
    x = 17,638.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.