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Finding the Third Proportional to 2,348 and 3,412

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Solution

The third proportional to 2,348 and 3,412 is: 4,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348 : 3,412 = 3,412 : x
  2. Step 2: Convert to fraction form
    2,348/3,412 = 3,412/x
  3. Step 3: Cross multiply
    2,348x = 3,412 × 3,412
  4. Step 4: Simplify right side
    2,348x = 11,641,744
  5. Step 5: Solve for x
    x = 11,641,744/2,348
  6. Step 6: Final answer
    x = 4,958.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.