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Finding the Third Proportional to 33,262 and 49,773.75

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Solution

The third proportional to 33,262 and 49,773.75 is: 74,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,262 : 49,773.75 = 49,773.75 : x
  2. Step 2: Convert to fraction form
    33,262/49,773.75 = 49,773.75/x
  3. Step 3: Cross multiply
    33,262x = 49,773.75 × 49,773.75
  4. Step 4: Simplify right side
    33,262x = 2,477,426,189.06
  5. Step 5: Solve for x
    x = 2,477,426,189.06/33,262
  6. Step 6: Final answer
    x = 74,482.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.