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Finding the Third Proportional to 40,358.75 and 79,682.50

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Solution

The third proportional to 40,358.75 and 79,682.50 is: 157,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358.75 : 79,682.50 = 79,682.50 : x
  2. Step 2: Convert to fraction form
    40,358.75/79,682.50 = 79,682.50/x
  3. Step 3: Cross multiply
    40,358.75x = 79,682.50 × 79,682.50
  4. Step 4: Simplify right side
    40,358.75x = 6,349,300,806.25
  5. Step 5: Solve for x
    x = 6,349,300,806.25/40,358.75
  6. Step 6: Final answer
    x = 157,321.54

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.