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Finding the Third Proportional to 2,291 and 5,011

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Solution

The third proportional to 2,291 and 5,011 is: 10,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291 : 5,011 = 5,011 : x
  2. Step 2: Convert to fraction form
    2,291/5,011 = 5,011/x
  3. Step 3: Cross multiply
    2,291x = 5,011 × 5,011
  4. Step 4: Simplify right side
    2,291x = 25,110,121
  5. Step 5: Solve for x
    x = 25,110,121/2,291
  6. Step 6: Final answer
    x = 10,960.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.