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Finding the Third Proportional to 3,011 and 7,253

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Solution

The third proportional to 3,011 and 7,253 is: 17,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011 : 7,253 = 7,253 : x
  2. Step 2: Convert to fraction form
    3,011/7,253 = 7,253/x
  3. Step 3: Cross multiply
    3,011x = 7,253 × 7,253
  4. Step 4: Simplify right side
    3,011x = 52,606,009
  5. Step 5: Solve for x
    x = 52,606,009/3,011
  6. Step 6: Final answer
    x = 17,471.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.