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Finding the Third Proportional to 8,563.50 and 21,609

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Solution

The third proportional to 8,563.50 and 21,609 is: 54,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.50 : 21,609 = 21,609 : x
  2. Step 2: Convert to fraction form
    8,563.50/21,609 = 21,609/x
  3. Step 3: Cross multiply
    8,563.50x = 21,609 × 21,609
  4. Step 4: Simplify right side
    8,563.50x = 466,948,881
  5. Step 5: Solve for x
    x = 466,948,881/8,563.50
  6. Step 6: Final answer
    x = 54,527.81

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.