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Finding the Third Proportional to 27,083 and 36,219

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Solution

The third proportional to 27,083 and 36,219 is: 48,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083 : 36,219 = 36,219 : x
  2. Step 2: Convert to fraction form
    27,083/36,219 = 36,219/x
  3. Step 3: Cross multiply
    27,083x = 36,219 × 36,219
  4. Step 4: Simplify right side
    27,083x = 1,311,815,961
  5. Step 5: Solve for x
    x = 1,311,815,961/27,083
  6. Step 6: Final answer
    x = 48,436.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.