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Finding the Third Proportional to 16,751.81 and 23,874.75

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Solution

The third proportional to 16,751.81 and 23,874.75 is: 34,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751.81 : 23,874.75 = 23,874.75 : x
  2. Step 2: Convert to fraction form
    16,751.81/23,874.75 = 23,874.75/x
  3. Step 3: Cross multiply
    16,751.81x = 23,874.75 × 23,874.75
  4. Step 4: Simplify right side
    16,751.81x = 570,003,687.56
  5. Step 5: Solve for x
    x = 570,003,687.56/16,751.81
  6. Step 6: Final answer
    x = 34,026.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.