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Finding the Third Proportional to 1,897 and 2,299

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Solution

The third proportional to 1,897 and 2,299 is: 2,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 2,299 = 2,299 : x
  2. Step 2: Convert to fraction form
    1,897/2,299 = 2,299/x
  3. Step 3: Cross multiply
    1,897x = 2,299 × 2,299
  4. Step 4: Simplify right side
    1,897x = 5,285,401
  5. Step 5: Solve for x
    x = 5,285,401/1,897
  6. Step 6: Final answer
    x = 2,786.19

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.