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Finding the Third Proportional to 4,468.50 and 9,514.88

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Solution

The third proportional to 4,468.50 and 9,514.88 is: 20,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.50 : 9,514.88 = 9,514.88 : x
  2. Step 2: Convert to fraction form
    4,468.50/9,514.88 = 9,514.88/x
  3. Step 3: Cross multiply
    4,468.50x = 9,514.88 × 9,514.88
  4. Step 4: Simplify right side
    4,468.50x = 90,532,846.27
  5. Step 5: Solve for x
    x = 90,532,846.27/4,468.50
  6. Step 6: Final answer
    x = 20,260.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.