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Finding the Third Proportional to 47,571 and 103,615.50

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Solution

The third proportional to 47,571 and 103,615.50 is: 225,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,571 : 103,615.50 = 103,615.50 : x
  2. Step 2: Convert to fraction form
    47,571/103,615.50 = 103,615.50/x
  3. Step 3: Cross multiply
    47,571x = 103,615.50 × 103,615.50
  4. Step 4: Simplify right side
    47,571x = 10,736,171,840.25
  5. Step 5: Solve for x
    x = 10,736,171,840.25/47,571
  6. Step 6: Final answer
    x = 225,687.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.