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Finding the Third Proportional to 26,219 and 34,483

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Solution

The third proportional to 26,219 and 34,483 is: 45,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,219 : 34,483 = 34,483 : x
  2. Step 2: Convert to fraction form
    26,219/34,483 = 34,483/x
  3. Step 3: Cross multiply
    26,219x = 34,483 × 34,483
  4. Step 4: Simplify right side
    26,219x = 1,189,077,289
  5. Step 5: Solve for x
    x = 1,189,077,289/26,219
  6. Step 6: Final answer
    x = 45,351.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.