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Finding the Third Proportional to 26,318 and 34,146

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Solution

The third proportional to 26,318 and 34,146 is: 44,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,318 : 34,146 = 34,146 : x
  2. Step 2: Convert to fraction form
    26,318/34,146 = 34,146/x
  3. Step 3: Cross multiply
    26,318x = 34,146 × 34,146
  4. Step 4: Simplify right side
    26,318x = 1,165,949,316
  5. Step 5: Solve for x
    x = 1,165,949,316/26,318
  6. Step 6: Final answer
    x = 44,302.35

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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.