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Finding the Third Proportional to 32,190.75 and 70,635.38

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Solution

The third proportional to 32,190.75 and 70,635.38 is: 154,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.75 : 70,635.38 = 70,635.38 : x
  2. Step 2: Convert to fraction form
    32,190.75/70,635.38 = 70,635.38/x
  3. Step 3: Cross multiply
    32,190.75x = 70,635.38 × 70,635.38
  4. Step 4: Simplify right side
    32,190.75x = 4,989,356,201.39
  5. Step 5: Solve for x
    x = 4,989,356,201.39/32,190.75
  6. Step 6: Final answer
    x = 154,993.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.