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Finding the Third Proportional to 43,747.50 and 67,554

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Solution

The third proportional to 43,747.50 and 67,554 is: 104,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,747.50 : 67,554 = 67,554 : x
  2. Step 2: Convert to fraction form
    43,747.50/67,554 = 67,554/x
  3. Step 3: Cross multiply
    43,747.50x = 67,554 × 67,554
  4. Step 4: Simplify right side
    43,747.50x = 4,563,542,916
  5. Step 5: Solve for x
    x = 4,563,542,916/43,747.50
  6. Step 6: Final answer
    x = 104,315.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.