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Finding the Third Proportional to 23,574 and 36,181.50

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Solution

The third proportional to 23,574 and 36,181.50 is: 55,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574 : 36,181.50 = 36,181.50 : x
  2. Step 2: Convert to fraction form
    23,574/36,181.50 = 36,181.50/x
  3. Step 3: Cross multiply
    23,574x = 36,181.50 × 36,181.50
  4. Step 4: Simplify right side
    23,574x = 1,309,100,942.25
  5. Step 5: Solve for x
    x = 1,309,100,942.25/23,574
  6. Step 6: Final answer
    x = 55,531.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.