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Finding the Third Proportional to 2,052 and 3,422

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Solution

The third proportional to 2,052 and 3,422 is: 5,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 3,422 = 3,422 : x
  2. Step 2: Convert to fraction form
    2,052/3,422 = 3,422/x
  3. Step 3: Cross multiply
    2,052x = 3,422 × 3,422
  4. Step 4: Simplify right side
    2,052x = 11,710,084
  5. Step 5: Solve for x
    x = 11,710,084/2,052
  6. Step 6: Final answer
    x = 5,706.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.