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Finding the Third Proportional to 12,584.44 and 26,463.75

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Solution

The third proportional to 12,584.44 and 26,463.75 is: 55,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.44 : 26,463.75 = 26,463.75 : x
  2. Step 2: Convert to fraction form
    12,584.44/26,463.75 = 26,463.75/x
  3. Step 3: Cross multiply
    12,584.44x = 26,463.75 × 26,463.75
  4. Step 4: Simplify right side
    12,584.44x = 700,330,064.06
  5. Step 5: Solve for x
    x = 700,330,064.06/12,584.44
  6. Step 6: Final answer
    x = 55,650.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.