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Finding the Third Proportional to 3,540 and 4,614

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Solution

The third proportional to 3,540 and 4,614 is: 6,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 4,614 = 4,614 : x
  2. Step 2: Convert to fraction form
    3,540/4,614 = 4,614/x
  3. Step 3: Cross multiply
    3,540x = 4,614 × 4,614
  4. Step 4: Simplify right side
    3,540x = 21,288,996
  5. Step 5: Solve for x
    x = 21,288,996/3,540
  6. Step 6: Final answer
    x = 6,013.84

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.