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Finding the Third Proportional to 17,635.22 and 37,970.02

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Solution

The third proportional to 17,635.22 and 37,970.02 is: 81,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.22 : 37,970.02 = 37,970.02 : x
  2. Step 2: Convert to fraction form
    17,635.22/37,970.02 = 37,970.02/x
  3. Step 3: Cross multiply
    17,635.22x = 37,970.02 × 37,970.02
  4. Step 4: Simplify right side
    17,635.22x = 1,441,722,086.56
  5. Step 5: Solve for x
    x = 1,441,722,086.56/17,635.22
  6. Step 6: Final answer
    x = 81,752.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.