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Finding the Third Proportional to 45,697.50 and 73,399.50

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Solution

The third proportional to 45,697.50 and 73,399.50 is: 117,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,697.50 : 73,399.50 = 73,399.50 : x
  2. Step 2: Convert to fraction form
    45,697.50/73,399.50 = 73,399.50/x
  3. Step 3: Cross multiply
    45,697.50x = 73,399.50 × 73,399.50
  4. Step 4: Simplify right side
    45,697.50x = 5,387,486,600.25
  5. Step 5: Solve for x
    x = 5,387,486,600.25/45,697.50
  6. Step 6: Final answer
    x = 117,894.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.