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Finding the Third Proportional to 2,202 and 5,937

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Solution

The third proportional to 2,202 and 5,937 is: 16,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 5,937 = 5,937 : x
  2. Step 2: Convert to fraction form
    2,202/5,937 = 5,937/x
  3. Step 3: Cross multiply
    2,202x = 5,937 × 5,937
  4. Step 4: Simplify right side
    2,202x = 35,247,969
  5. Step 5: Solve for x
    x = 35,247,969/2,202
  6. Step 6: Final answer
    x = 16,007.25

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.