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Finding the Third Proportional to 47,364 and 68,427

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Solution

The third proportional to 47,364 and 68,427 is: 98,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364 : 68,427 = 68,427 : x
  2. Step 2: Convert to fraction form
    47,364/68,427 = 68,427/x
  3. Step 3: Cross multiply
    47,364x = 68,427 × 68,427
  4. Step 4: Simplify right side
    47,364x = 4,682,254,329
  5. Step 5: Solve for x
    x = 4,682,254,329/47,364
  6. Step 6: Final answer
    x = 98,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.