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Finding the Third Proportional to 6,486 and 13,134

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Solution

The third proportional to 6,486 and 13,134 is: 26,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486 : 13,134 = 13,134 : x
  2. Step 2: Convert to fraction form
    6,486/13,134 = 13,134/x
  3. Step 3: Cross multiply
    6,486x = 13,134 × 13,134
  4. Step 4: Simplify right side
    6,486x = 172,501,956
  5. Step 5: Solve for x
    x = 172,501,956/6,486
  6. Step 6: Final answer
    x = 26,596.05

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.