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Finding the Third Proportional to 2,134 and 3,348

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Solution

The third proportional to 2,134 and 3,348 is: 5,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134 : 3,348 = 3,348 : x
  2. Step 2: Convert to fraction form
    2,134/3,348 = 3,348/x
  3. Step 3: Cross multiply
    2,134x = 3,348 × 3,348
  4. Step 4: Simplify right side
    2,134x = 11,209,104
  5. Step 5: Solve for x
    x = 11,209,104/2,134
  6. Step 6: Final answer
    x = 5,252.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.