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Finding the Third Proportional to 2,095 and 3,102

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Solution

The third proportional to 2,095 and 3,102 is: 4,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095 : 3,102 = 3,102 : x
  2. Step 2: Convert to fraction form
    2,095/3,102 = 3,102/x
  3. Step 3: Cross multiply
    2,095x = 3,102 × 3,102
  4. Step 4: Simplify right side
    2,095x = 9,622,404
  5. Step 5: Solve for x
    x = 9,622,404/2,095
  6. Step 6: Final answer
    x = 4,593.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.