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Finding the Third Proportional to 9,914.50 and 20,651

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Solution

The third proportional to 9,914.50 and 20,651 is: 43,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.50 : 20,651 = 20,651 : x
  2. Step 2: Convert to fraction form
    9,914.50/20,651 = 20,651/x
  3. Step 3: Cross multiply
    9,914.50x = 20,651 × 20,651
  4. Step 4: Simplify right side
    9,914.50x = 426,463,801
  5. Step 5: Solve for x
    x = 426,463,801/9,914.50
  6. Step 6: Final answer
    x = 43,014.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.