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Finding the Third Proportional to 3,698.16 and 5,347.27

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Solution

The third proportional to 3,698.16 and 5,347.27 is: 7,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.16 : 5,347.27 = 5,347.27 : x
  2. Step 2: Convert to fraction form
    3,698.16/5,347.27 = 5,347.27/x
  3. Step 3: Cross multiply
    3,698.16x = 5,347.27 × 5,347.27
  4. Step 4: Simplify right side
    3,698.16x = 28,593,249.66
  5. Step 5: Solve for x
    x = 28,593,249.66/3,698.16
  6. Step 6: Final answer
    x = 7,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.