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Finding the Third Proportional to 16,859.75 and 24,287.25

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Solution

The third proportional to 16,859.75 and 24,287.25 is: 34,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.75 : 24,287.25 = 24,287.25 : x
  2. Step 2: Convert to fraction form
    16,859.75/24,287.25 = 24,287.25/x
  3. Step 3: Cross multiply
    16,859.75x = 24,287.25 × 24,287.25
  4. Step 4: Simplify right side
    16,859.75x = 589,870,512.56
  5. Step 5: Solve for x
    x = 589,870,512.56/16,859.75
  6. Step 6: Final answer
    x = 34,986.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.