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Finding the Third Proportional to 36,470 and 54,817

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Solution

The third proportional to 36,470 and 54,817 is: 82,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470 : 54,817 = 54,817 : x
  2. Step 2: Convert to fraction form
    36,470/54,817 = 54,817/x
  3. Step 3: Cross multiply
    36,470x = 54,817 × 54,817
  4. Step 4: Simplify right side
    36,470x = 3,004,903,489
  5. Step 5: Solve for x
    x = 3,004,903,489/36,470
  6. Step 6: Final answer
    x = 82,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.