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Finding the Third Proportional to 26,761.50 and 47,643.75

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Solution

The third proportional to 26,761.50 and 47,643.75 is: 84,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761.50 : 47,643.75 = 47,643.75 : x
  2. Step 2: Convert to fraction form
    26,761.50/47,643.75 = 47,643.75/x
  3. Step 3: Cross multiply
    26,761.50x = 47,643.75 × 47,643.75
  4. Step 4: Simplify right side
    26,761.50x = 2,269,926,914.06
  5. Step 5: Solve for x
    x = 2,269,926,914.06/26,761.50
  6. Step 6: Final answer
    x = 84,820.62

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.