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Finding the Third Proportional to 47,360 and 63,183

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Solution

The third proportional to 47,360 and 63,183 is: 84,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,360 : 63,183 = 63,183 : x
  2. Step 2: Convert to fraction form
    47,360/63,183 = 63,183/x
  3. Step 3: Cross multiply
    47,360x = 63,183 × 63,183
  4. Step 4: Simplify right side
    47,360x = 3,992,091,489
  5. Step 5: Solve for x
    x = 3,992,091,489/47,360
  6. Step 6: Final answer
    x = 84,292.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.