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Finding the Third Proportional to 47,671.50 and 104,895

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Solution

The third proportional to 47,671.50 and 104,895 is: 230,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.50 : 104,895 = 104,895 : x
  2. Step 2: Convert to fraction form
    47,671.50/104,895 = 104,895/x
  3. Step 3: Cross multiply
    47,671.50x = 104,895 × 104,895
  4. Step 4: Simplify right side
    47,671.50x = 11,002,961,025
  5. Step 5: Solve for x
    x = 11,002,961,025/47,671.50
  6. Step 6: Final answer
    x = 230,807.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.