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Finding the Third Proportional to 6,139 and 13,025

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Solution

The third proportional to 6,139 and 13,025 is: 27,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139 : 13,025 = 13,025 : x
  2. Step 2: Convert to fraction form
    6,139/13,025 = 13,025/x
  3. Step 3: Cross multiply
    6,139x = 13,025 × 13,025
  4. Step 4: Simplify right side
    6,139x = 169,650,625
  5. Step 5: Solve for x
    x = 169,650,625/6,139
  6. Step 6: Final answer
    x = 27,634.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.