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Finding the Third Proportional to 17,647.50 and 36,752.25

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Solution

The third proportional to 17,647.50 and 36,752.25 is: 76,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.50 : 36,752.25 = 36,752.25 : x
  2. Step 2: Convert to fraction form
    17,647.50/36,752.25 = 36,752.25/x
  3. Step 3: Cross multiply
    17,647.50x = 36,752.25 × 36,752.25
  4. Step 4: Simplify right side
    17,647.50x = 1,350,727,880.06
  5. Step 5: Solve for x
    x = 1,350,727,880.06/17,647.50
  6. Step 6: Final answer
    x = 76,539.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.