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Finding the Third Proportional to 47,856 and 68,504

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Solution

The third proportional to 47,856 and 68,504 is: 98,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856 : 68,504 = 68,504 : x
  2. Step 2: Convert to fraction form
    47,856/68,504 = 68,504/x
  3. Step 3: Cross multiply
    47,856x = 68,504 × 68,504
  4. Step 4: Simplify right side
    47,856x = 4,692,798,016
  5. Step 5: Solve for x
    x = 4,692,798,016/47,856
  6. Step 6: Final answer
    x = 98,060.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.