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Finding the Third Proportional to 23,762 and 33,219.50

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Solution

The third proportional to 23,762 and 33,219.50 is: 46,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762 : 33,219.50 = 33,219.50 : x
  2. Step 2: Convert to fraction form
    23,762/33,219.50 = 33,219.50/x
  3. Step 3: Cross multiply
    23,762x = 33,219.50 × 33,219.50
  4. Step 4: Simplify right side
    23,762x = 1,103,535,180.25
  5. Step 5: Solve for x
    x = 1,103,535,180.25/23,762
  6. Step 6: Final answer
    x = 46,441.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.