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Finding the Third Proportional to 47,965.50 and 67,073.06

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Solution

The third proportional to 47,965.50 and 67,073.06 is: 93,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,965.50 : 67,073.06 = 67,073.06 : x
  2. Step 2: Convert to fraction form
    47,965.50/67,073.06 = 67,073.06/x
  3. Step 3: Cross multiply
    47,965.50x = 67,073.06 × 67,073.06
  4. Step 4: Simplify right side
    47,965.50x = 4,498,795,713.13
  5. Step 5: Solve for x
    x = 4,498,795,713.13/47,965.50
  6. Step 6: Final answer
    x = 93,792.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.