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Finding the Third Proportional to 8,509.50 and 18,697

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Solution

The third proportional to 8,509.50 and 18,697 is: 41,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.50 : 18,697 = 18,697 : x
  2. Step 2: Convert to fraction form
    8,509.50/18,697 = 18,697/x
  3. Step 3: Cross multiply
    8,509.50x = 18,697 × 18,697
  4. Step 4: Simplify right side
    8,509.50x = 349,577,809
  5. Step 5: Solve for x
    x = 349,577,809/8,509.50
  6. Step 6: Final answer
    x = 41,080.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.