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Finding the Third Proportional to 3,697 and 7,292

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Solution

The third proportional to 3,697 and 7,292 is: 14,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 7,292 = 7,292 : x
  2. Step 2: Convert to fraction form
    3,697/7,292 = 7,292/x
  3. Step 3: Cross multiply
    3,697x = 7,292 × 7,292
  4. Step 4: Simplify right side
    3,697x = 53,173,264
  5. Step 5: Solve for x
    x = 53,173,264/3,697
  6. Step 6: Final answer
    x = 14,382.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.