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Finding the Third Proportional to 2,102 and 2,805

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Solution

The third proportional to 2,102 and 2,805 is: 3,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 2,805 = 2,805 : x
  2. Step 2: Convert to fraction form
    2,102/2,805 = 2,805/x
  3. Step 3: Cross multiply
    2,102x = 2,805 × 2,805
  4. Step 4: Simplify right side
    2,102x = 7,868,025
  5. Step 5: Solve for x
    x = 7,868,025/2,102
  6. Step 6: Final answer
    x = 3,743.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.