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Finding the Third Proportional to 9,079.50 and 21,467.50

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Solution

The third proportional to 9,079.50 and 21,467.50 is: 50,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.50 : 21,467.50 = 21,467.50 : x
  2. Step 2: Convert to fraction form
    9,079.50/21,467.50 = 21,467.50/x
  3. Step 3: Cross multiply
    9,079.50x = 21,467.50 × 21,467.50
  4. Step 4: Simplify right side
    9,079.50x = 460,853,556.25
  5. Step 5: Solve for x
    x = 460,853,556.25/9,079.50
  6. Step 6: Final answer
    x = 50,757.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.