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Finding the Third Proportional to 10,267.50 and 14,682.75

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Solution

The third proportional to 10,267.50 and 14,682.75 is: 20,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.50 : 14,682.75 = 14,682.75 : x
  2. Step 2: Convert to fraction form
    10,267.50/14,682.75 = 14,682.75/x
  3. Step 3: Cross multiply
    10,267.50x = 14,682.75 × 14,682.75
  4. Step 4: Simplify right side
    10,267.50x = 215,583,147.56
  5. Step 5: Solve for x
    x = 215,583,147.56/10,267.50
  6. Step 6: Final answer
    x = 20,996.65

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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.