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Finding the Third Proportional to 6,344 and 13,960

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Solution

The third proportional to 6,344 and 13,960 is: 30,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344 : 13,960 = 13,960 : x
  2. Step 2: Convert to fraction form
    6,344/13,960 = 13,960/x
  3. Step 3: Cross multiply
    6,344x = 13,960 × 13,960
  4. Step 4: Simplify right side
    6,344x = 194,881,600
  5. Step 5: Solve for x
    x = 194,881,600/6,344
  6. Step 6: Final answer
    x = 30,719.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.