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Finding the Third Proportional to 3,692 and 5,614

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Solution

The third proportional to 3,692 and 5,614 is: 8,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692 : 5,614 = 5,614 : x
  2. Step 2: Convert to fraction form
    3,692/5,614 = 5,614/x
  3. Step 3: Cross multiply
    3,692x = 5,614 × 5,614
  4. Step 4: Simplify right side
    3,692x = 31,516,996
  5. Step 5: Solve for x
    x = 31,516,996/3,692
  6. Step 6: Final answer
    x = 8,536.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.