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Finding the Third Proportional to 2,247 and 3,699.38

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Solution

The third proportional to 2,247 and 3,699.38 is: 6,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,699.38 = 3,699.38 : x
  2. Step 2: Convert to fraction form
    2,247/3,699.38 = 3,699.38/x
  3. Step 3: Cross multiply
    2,247x = 3,699.38 × 3,699.38
  4. Step 4: Simplify right side
    2,247x = 13,685,375.39
  5. Step 5: Solve for x
    x = 13,685,375.39/2,247
  6. Step 6: Final answer
    x = 6,090.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.