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Finding the Third Proportional to 3,699 and 4,239

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Solution

The third proportional to 3,699 and 4,239 is: 4,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 4,239 = 4,239 : x
  2. Step 2: Convert to fraction form
    3,699/4,239 = 4,239/x
  3. Step 3: Cross multiply
    3,699x = 4,239 × 4,239
  4. Step 4: Simplify right side
    3,699x = 17,969,121
  5. Step 5: Solve for x
    x = 17,969,121/3,699
  6. Step 6: Final answer
    x = 4,857.83

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.