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Finding the Third Proportional to 26,318 and 34,145

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Solution

The third proportional to 26,318 and 34,145 is: 44,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,318 : 34,145 = 34,145 : x
  2. Step 2: Convert to fraction form
    26,318/34,145 = 34,145/x
  3. Step 3: Cross multiply
    26,318x = 34,145 × 34,145
  4. Step 4: Simplify right side
    26,318x = 1,165,881,025
  5. Step 5: Solve for x
    x = 1,165,881,025/26,318
  6. Step 6: Final answer
    x = 44,299.76

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.