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Finding the Third Proportional to 10,830.75 and 16,247.25

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Solution

The third proportional to 10,830.75 and 16,247.25 is: 24,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.75 : 16,247.25 = 16,247.25 : x
  2. Step 2: Convert to fraction form
    10,830.75/16,247.25 = 16,247.25/x
  3. Step 3: Cross multiply
    10,830.75x = 16,247.25 × 16,247.25
  4. Step 4: Simplify right side
    10,830.75x = 263,973,132.56
  5. Step 5: Solve for x
    x = 263,973,132.56/10,830.75
  6. Step 6: Final answer
    x = 24,372.56

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