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Finding the Third Proportional to 26,509 and 36,483

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Solution

The third proportional to 26,509 and 36,483 is: 50,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509 : 36,483 = 36,483 : x
  2. Step 2: Convert to fraction form
    26,509/36,483 = 36,483/x
  3. Step 3: Cross multiply
    26,509x = 36,483 × 36,483
  4. Step 4: Simplify right side
    26,509x = 1,331,009,289
  5. Step 5: Solve for x
    x = 1,331,009,289/26,509
  6. Step 6: Final answer
    x = 50,209.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.