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Finding the Third Proportional to 5,896 and 14,080

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Solution

The third proportional to 5,896 and 14,080 is: 33,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 14,080 = 14,080 : x
  2. Step 2: Convert to fraction form
    5,896/14,080 = 14,080/x
  3. Step 3: Cross multiply
    5,896x = 14,080 × 14,080
  4. Step 4: Simplify right side
    5,896x = 198,246,400
  5. Step 5: Solve for x
    x = 198,246,400/5,896
  6. Step 6: Final answer
    x = 33,623.88

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.