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Finding the Third Proportional to 11,166 and 14,889

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Solution

The third proportional to 11,166 and 14,889 is: 19,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166 : 14,889 = 14,889 : x
  2. Step 2: Convert to fraction form
    11,166/14,889 = 14,889/x
  3. Step 3: Cross multiply
    11,166x = 14,889 × 14,889
  4. Step 4: Simplify right side
    11,166x = 221,682,321
  5. Step 5: Solve for x
    x = 221,682,321/11,166
  6. Step 6: Final answer
    x = 19,853.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.