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Finding the Third Proportional to 24,198.75 and 26,412.75

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Solution

The third proportional to 24,198.75 and 26,412.75 is: 28,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.75 : 26,412.75 = 26,412.75 : x
  2. Step 2: Convert to fraction form
    24,198.75/26,412.75 = 26,412.75/x
  3. Step 3: Cross multiply
    24,198.75x = 26,412.75 × 26,412.75
  4. Step 4: Simplify right side
    24,198.75x = 697,633,362.56
  5. Step 5: Solve for x
    x = 697,633,362.56/24,198.75
  6. Step 6: Final answer
    x = 28,829.31

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.