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Finding the Third Proportional to 10,820.25 and 16,431.75

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Solution

The third proportional to 10,820.25 and 16,431.75 is: 24,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.25 : 16,431.75 = 16,431.75 : x
  2. Step 2: Convert to fraction form
    10,820.25/16,431.75 = 16,431.75/x
  3. Step 3: Cross multiply
    10,820.25x = 16,431.75 × 16,431.75
  4. Step 4: Simplify right side
    10,820.25x = 270,002,408.06
  5. Step 5: Solve for x
    x = 270,002,408.06/10,820.25
  6. Step 6: Final answer
    x = 24,953.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.