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Finding the Third Proportional to 11,291.91 and 16,041.80

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Solution

The third proportional to 11,291.91 and 16,041.80 is: 22,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.91 : 16,041.80 = 16,041.80 : x
  2. Step 2: Convert to fraction form
    11,291.91/16,041.80 = 16,041.80/x
  3. Step 3: Cross multiply
    11,291.91x = 16,041.80 × 16,041.80
  4. Step 4: Simplify right side
    11,291.91x = 257,339,246.98
  5. Step 5: Solve for x
    x = 257,339,246.98/11,291.91
  6. Step 6: Final answer
    x = 22,789.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.