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Finding the Third Proportional to 36,236 and 53,670

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Solution

The third proportional to 36,236 and 53,670 is: 79,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,236 : 53,670 = 53,670 : x
  2. Step 2: Convert to fraction form
    36,236/53,670 = 53,670/x
  3. Step 3: Cross multiply
    36,236x = 53,670 × 53,670
  4. Step 4: Simplify right side
    36,236x = 2,880,468,900
  5. Step 5: Solve for x
    x = 2,880,468,900/36,236
  6. Step 6: Final answer
    x = 79,491.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.