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Finding the Third Proportional to 2,299 and 5,125

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Solution

The third proportional to 2,299 and 5,125 is: 11,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 5,125 = 5,125 : x
  2. Step 2: Convert to fraction form
    2,299/5,125 = 5,125/x
  3. Step 3: Cross multiply
    2,299x = 5,125 × 5,125
  4. Step 4: Simplify right side
    2,299x = 26,265,625
  5. Step 5: Solve for x
    x = 26,265,625/2,299
  6. Step 6: Final answer
    x = 11,424.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.