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Finding the Third Proportional to 47,826 and 68,787

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Solution

The third proportional to 47,826 and 68,787 is: 98,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,826 : 68,787 = 68,787 : x
  2. Step 2: Convert to fraction form
    47,826/68,787 = 68,787/x
  3. Step 3: Cross multiply
    47,826x = 68,787 × 68,787
  4. Step 4: Simplify right side
    47,826x = 4,731,651,369
  5. Step 5: Solve for x
    x = 4,731,651,369/47,826
  6. Step 6: Final answer
    x = 98,934.71

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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.