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Finding the Third Proportional to 2,299 and 3,471

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Solution

The third proportional to 2,299 and 3,471 is: 5,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 3,471 = 3,471 : x
  2. Step 2: Convert to fraction form
    2,299/3,471 = 3,471/x
  3. Step 3: Cross multiply
    2,299x = 3,471 × 3,471
  4. Step 4: Simplify right side
    2,299x = 12,047,841
  5. Step 5: Solve for x
    x = 12,047,841/2,299
  6. Step 6: Final answer
    x = 5,240.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.