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Finding the Third Proportional to 43,729.50 and 93,682.50

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Solution

The third proportional to 43,729.50 and 93,682.50 is: 200,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729.50 : 93,682.50 = 93,682.50 : x
  2. Step 2: Convert to fraction form
    43,729.50/93,682.50 = 93,682.50/x
  3. Step 3: Cross multiply
    43,729.50x = 93,682.50 × 93,682.50
  4. Step 4: Simplify right side
    43,729.50x = 8,776,410,806.25
  5. Step 5: Solve for x
    x = 8,776,410,806.25/43,729.50
  6. Step 6: Final answer
    x = 200,697.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.