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Finding the Third Proportional to 3,698 and 5,534

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Solution

The third proportional to 3,698 and 5,534 is: 8,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698 : 5,534 = 5,534 : x
  2. Step 2: Convert to fraction form
    3,698/5,534 = 5,534/x
  3. Step 3: Cross multiply
    3,698x = 5,534 × 5,534
  4. Step 4: Simplify right side
    3,698x = 30,625,156
  5. Step 5: Solve for x
    x = 30,625,156/3,698
  6. Step 6: Final answer
    x = 8,281.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.