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Finding the Third Proportional to 10,821.75 and 16,232.63

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Solution

The third proportional to 10,821.75 and 16,232.63 is: 24,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.75 : 16,232.63 = 16,232.63 : x
  2. Step 2: Convert to fraction form
    10,821.75/16,232.63 = 16,232.63/x
  3. Step 3: Cross multiply
    10,821.75x = 16,232.63 × 16,232.63
  4. Step 4: Simplify right side
    10,821.75x = 263,498,114.39
  5. Step 5: Solve for x
    x = 263,498,114.39/10,821.75
  6. Step 6: Final answer
    x = 24,348.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.