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Finding the Third Proportional to 2,539 and 5,899

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Solution

The third proportional to 2,539 and 5,899 is: 13,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539 : 5,899 = 5,899 : x
  2. Step 2: Convert to fraction form
    2,539/5,899 = 5,899/x
  3. Step 3: Cross multiply
    2,539x = 5,899 × 5,899
  4. Step 4: Simplify right side
    2,539x = 34,798,201
  5. Step 5: Solve for x
    x = 34,798,201/2,539
  6. Step 6: Final answer
    x = 13,705.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.