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Finding the Third Proportional to 11,502 and 16,193.25

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Solution

The third proportional to 11,502 and 16,193.25 is: 22,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 16,193.25 = 16,193.25 : x
  2. Step 2: Convert to fraction form
    11,502/16,193.25 = 16,193.25/x
  3. Step 3: Cross multiply
    11,502x = 16,193.25 × 16,193.25
  4. Step 4: Simplify right side
    11,502x = 262,221,345.56
  5. Step 5: Solve for x
    x = 262,221,345.56/11,502
  6. Step 6: Final answer
    x = 22,797.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.