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Finding the Third Proportional to 2,299 and 5,011

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Solution

The third proportional to 2,299 and 5,011 is: 10,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 5,011 = 5,011 : x
  2. Step 2: Convert to fraction form
    2,299/5,011 = 5,011/x
  3. Step 3: Cross multiply
    2,299x = 5,011 × 5,011
  4. Step 4: Simplify right side
    2,299x = 25,110,121
  5. Step 5: Solve for x
    x = 25,110,121/2,299
  6. Step 6: Final answer
    x = 10,922.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.