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Finding the Third Proportional to 47,625 and 101,811.50

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Solution

The third proportional to 47,625 and 101,811.50 is: 217,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,625 : 101,811.50 = 101,811.50 : x
  2. Step 2: Convert to fraction form
    47,625/101,811.50 = 101,811.50/x
  3. Step 3: Cross multiply
    47,625x = 101,811.50 × 101,811.50
  4. Step 4: Simplify right side
    47,625x = 10,365,581,532.25
  5. Step 5: Solve for x
    x = 10,365,581,532.25/47,625
  6. Step 6: Final answer
    x = 217,650.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.