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Finding the Third Proportional to 33,054.75 and 77,955.75

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Solution

The third proportional to 33,054.75 and 77,955.75 is: 183,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054.75 : 77,955.75 = 77,955.75 : x
  2. Step 2: Convert to fraction form
    33,054.75/77,955.75 = 77,955.75/x
  3. Step 3: Cross multiply
    33,054.75x = 77,955.75 × 77,955.75
  4. Step 4: Simplify right side
    33,054.75x = 6,077,098,958.06
  5. Step 5: Solve for x
    x = 6,077,098,958.06/33,054.75
  6. Step 6: Final answer
    x = 183,849.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.