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Finding the Third Proportional to 13,766 and 19,155

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Solution

The third proportional to 13,766 and 19,155 is: 26,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766 : 19,155 = 19,155 : x
  2. Step 2: Convert to fraction form
    13,766/19,155 = 19,155/x
  3. Step 3: Cross multiply
    13,766x = 19,155 × 19,155
  4. Step 4: Simplify right side
    13,766x = 366,914,025
  5. Step 5: Solve for x
    x = 366,914,025/13,766
  6. Step 6: Final answer
    x = 26,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.