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Finding the Third Proportional to 43,546.50 and 67,284

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Solution

The third proportional to 43,546.50 and 67,284 is: 103,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,546.50 : 67,284 = 67,284 : x
  2. Step 2: Convert to fraction form
    43,546.50/67,284 = 67,284/x
  3. Step 3: Cross multiply
    43,546.50x = 67,284 × 67,284
  4. Step 4: Simplify right side
    43,546.50x = 4,527,136,656
  5. Step 5: Solve for x
    x = 4,527,136,656/43,546.50
  6. Step 6: Final answer
    x = 103,960.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.