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Finding the Third Proportional to 1,923.75 and 3,067.88

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Solution

The third proportional to 1,923.75 and 3,067.88 is: 4,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.75 : 3,067.88 = 3,067.88 : x
  2. Step 2: Convert to fraction form
    1,923.75/3,067.88 = 3,067.88/x
  3. Step 3: Cross multiply
    1,923.75x = 3,067.88 × 3,067.88
  4. Step 4: Simplify right side
    1,923.75x = 9,411,857.02
  5. Step 5: Solve for x
    x = 9,411,857.02/1,923.75
  6. Step 6: Final answer
    x = 4,892.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.