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Finding the Third Proportional to 11,024.23 and 16,074.07

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Solution

The third proportional to 11,024.23 and 16,074.07 is: 23,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.23 : 16,074.07 = 16,074.07 : x
  2. Step 2: Convert to fraction form
    11,024.23/16,074.07 = 16,074.07/x
  3. Step 3: Cross multiply
    11,024.23x = 16,074.07 × 16,074.07
  4. Step 4: Simplify right side
    11,024.23x = 258,375,736.41
  5. Step 5: Solve for x
    x = 258,375,736.41/11,024.23
  6. Step 6: Final answer
    x = 23,437.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.