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Finding the Third Proportional to 13,217.50 and 17,621

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Solution

The third proportional to 13,217.50 and 17,621 is: 23,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.50 : 17,621 = 17,621 : x
  2. Step 2: Convert to fraction form
    13,217.50/17,621 = 17,621/x
  3. Step 3: Cross multiply
    13,217.50x = 17,621 × 17,621
  4. Step 4: Simplify right side
    13,217.50x = 310,499,641
  5. Step 5: Solve for x
    x = 310,499,641/13,217.50
  6. Step 6: Final answer
    x = 23,491.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.