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Finding the Third Proportional to 15,847 and 33,943.50

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Solution

The third proportional to 15,847 and 33,943.50 is: 72,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847 : 33,943.50 = 33,943.50 : x
  2. Step 2: Convert to fraction form
    15,847/33,943.50 = 33,943.50/x
  3. Step 3: Cross multiply
    15,847x = 33,943.50 × 33,943.50
  4. Step 4: Simplify right side
    15,847x = 1,152,161,192.25
  5. Step 5: Solve for x
    x = 1,152,161,192.25/15,847
  6. Step 6: Final answer
    x = 72,705.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.