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Finding the Third Proportional to 36,236 and 53,368

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Solution

The third proportional to 36,236 and 53,368 is: 78,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,236 : 53,368 = 53,368 : x
  2. Step 2: Convert to fraction form
    36,236/53,368 = 53,368/x
  3. Step 3: Cross multiply
    36,236x = 53,368 × 53,368
  4. Step 4: Simplify right side
    36,236x = 2,848,143,424
  5. Step 5: Solve for x
    x = 2,848,143,424/36,236
  6. Step 6: Final answer
    x = 78,599.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.