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Finding the Third Proportional to 2,299 and 2,695

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Solution

The third proportional to 2,299 and 2,695 is: 3,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 2,695 = 2,695 : x
  2. Step 2: Convert to fraction form
    2,299/2,695 = 2,695/x
  3. Step 3: Cross multiply
    2,299x = 2,695 × 2,695
  4. Step 4: Simplify right side
    2,299x = 7,263,025
  5. Step 5: Solve for x
    x = 7,263,025/2,299
  6. Step 6: Final answer
    x = 3,159.21

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.