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Finding the Third Proportional to 12,003.75 and 25,784.25

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Solution

The third proportional to 12,003.75 and 25,784.25 is: 55,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.75 : 25,784.25 = 25,784.25 : x
  2. Step 2: Convert to fraction form
    12,003.75/25,784.25 = 25,784.25/x
  3. Step 3: Cross multiply
    12,003.75x = 25,784.25 × 25,784.25
  4. Step 4: Simplify right side
    12,003.75x = 664,827,548.06
  5. Step 5: Solve for x
    x = 664,827,548.06/12,003.75
  6. Step 6: Final answer
    x = 55,384.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.