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Finding the Third Proportional to 57,648 and 73,660.50

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Solution

The third proportional to 57,648 and 73,660.50 is: 94,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648 : 73,660.50 = 73,660.50 : x
  2. Step 2: Convert to fraction form
    57,648/73,660.50 = 73,660.50/x
  3. Step 3: Cross multiply
    57,648x = 73,660.50 × 73,660.50
  4. Step 4: Simplify right side
    57,648x = 5,425,869,260.25
  5. Step 5: Solve for x
    x = 5,425,869,260.25/57,648
  6. Step 6: Final answer
    x = 94,120.69

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.