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Finding the Third Proportional to 46,789.75 and 71,992

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Solution

The third proportional to 46,789.75 and 71,992 is: 110,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,789.75 : 71,992 = 71,992 : x
  2. Step 2: Convert to fraction form
    46,789.75/71,992 = 71,992/x
  3. Step 3: Cross multiply
    46,789.75x = 71,992 × 71,992
  4. Step 4: Simplify right side
    46,789.75x = 5,182,848,064
  5. Step 5: Solve for x
    x = 5,182,848,064/46,789.75
  6. Step 6: Final answer
    x = 110,768.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.