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Finding the Third Proportional to 3,120 and 3,344

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Solution

The third proportional to 3,120 and 3,344 is: 3,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 3,344 = 3,344 : x
  2. Step 2: Convert to fraction form
    3,120/3,344 = 3,344/x
  3. Step 3: Cross multiply
    3,120x = 3,344 × 3,344
  4. Step 4: Simplify right side
    3,120x = 11,182,336
  5. Step 5: Solve for x
    x = 11,182,336/3,120
  6. Step 6: Final answer
    x = 3,584.08

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.