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Finding the Third Proportional to 2,069 and 2,273

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Solution

The third proportional to 2,069 and 2,273 is: 2,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069 : 2,273 = 2,273 : x
  2. Step 2: Convert to fraction form
    2,069/2,273 = 2,273/x
  3. Step 3: Cross multiply
    2,069x = 2,273 × 2,273
  4. Step 4: Simplify right side
    2,069x = 5,166,529
  5. Step 5: Solve for x
    x = 5,166,529/2,069
  6. Step 6: Final answer
    x = 2,497.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.