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Finding the Third Proportional to 36,614.50 and 58,606.75

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Solution

The third proportional to 36,614.50 and 58,606.75 is: 93,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,614.50 : 58,606.75 = 58,606.75 : x
  2. Step 2: Convert to fraction form
    36,614.50/58,606.75 = 58,606.75/x
  3. Step 3: Cross multiply
    36,614.50x = 58,606.75 × 58,606.75
  4. Step 4: Simplify right side
    36,614.50x = 3,434,751,145.56
  5. Step 5: Solve for x
    x = 3,434,751,145.56/36,614.50
  6. Step 6: Final answer
    x = 93,808.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.