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Finding the Third Proportional to 43,854.75 and 67,027.50

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Solution

The third proportional to 43,854.75 and 67,027.50 is: 102,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,854.75 : 67,027.50 = 67,027.50 : x
  2. Step 2: Convert to fraction form
    43,854.75/67,027.50 = 67,027.50/x
  3. Step 3: Cross multiply
    43,854.75x = 67,027.50 × 67,027.50
  4. Step 4: Simplify right side
    43,854.75x = 4,492,685,756.25
  5. Step 5: Solve for x
    x = 4,492,685,756.25/43,854.75
  6. Step 6: Final answer
    x = 102,444.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.