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Finding the Third Proportional to 47,090.50 and 65,997.50

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Solution

The third proportional to 47,090.50 and 65,997.50 is: 92,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,090.50 : 65,997.50 = 65,997.50 : x
  2. Step 2: Convert to fraction form
    47,090.50/65,997.50 = 65,997.50/x
  3. Step 3: Cross multiply
    47,090.50x = 65,997.50 × 65,997.50
  4. Step 4: Simplify right side
    47,090.50x = 4,355,670,006.25
  5. Step 5: Solve for x
    x = 4,355,670,006.25/47,090.50
  6. Step 6: Final answer
    x = 92,495.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.