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Finding the Third Proportional to 9,669 and 14,467.50

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Solution

The third proportional to 9,669 and 14,467.50 is: 21,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 14,467.50 = 14,467.50 : x
  2. Step 2: Convert to fraction form
    9,669/14,467.50 = 14,467.50/x
  3. Step 3: Cross multiply
    9,669x = 14,467.50 × 14,467.50
  4. Step 4: Simplify right side
    9,669x = 209,308,556.25
  5. Step 5: Solve for x
    x = 209,308,556.25/9,669
  6. Step 6: Final answer
    x = 21,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.