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Finding the Third Proportional to 11,146 and 14,796

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Solution

The third proportional to 11,146 and 14,796 is: 19,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146 : 14,796 = 14,796 : x
  2. Step 2: Convert to fraction form
    11,146/14,796 = 14,796/x
  3. Step 3: Cross multiply
    11,146x = 14,796 × 14,796
  4. Step 4: Simplify right side
    11,146x = 218,921,616
  5. Step 5: Solve for x
    x = 218,921,616/11,146
  6. Step 6: Final answer
    x = 19,641.27

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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.