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Finding the Third Proportional to 14,949 and 35,238.75

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Solution

The third proportional to 14,949 and 35,238.75 is: 83,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949 : 35,238.75 = 35,238.75 : x
  2. Step 2: Convert to fraction form
    14,949/35,238.75 = 35,238.75/x
  3. Step 3: Cross multiply
    14,949x = 35,238.75 × 35,238.75
  4. Step 4: Simplify right side
    14,949x = 1,241,769,501.56
  5. Step 5: Solve for x
    x = 1,241,769,501.56/14,949
  6. Step 6: Final answer
    x = 83,067.06

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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.