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Finding the Third Proportional to 46.63 and 107.75

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Solution

The third proportional to 46.63 and 107.75 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 107.75 = 107.75 : x
  2. Step 2: Convert to fraction form
    46.63/107.75 = 107.75/x
  3. Step 3: Cross multiply
    46.63x = 107.75 × 107.75
  4. Step 4: Simplify right side
    46.63x = 11,610.06
  5. Step 5: Solve for x
    x = 11,610.06/46.63
  6. Step 6: Final answer
    x = 249.01

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.