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Finding the Third Proportional to 11,854 and 17,813

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Solution

The third proportional to 11,854 and 17,813 is: 26,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854 : 17,813 = 17,813 : x
  2. Step 2: Convert to fraction form
    11,854/17,813 = 17,813/x
  3. Step 3: Cross multiply
    11,854x = 17,813 × 17,813
  4. Step 4: Simplify right side
    11,854x = 317,302,969
  5. Step 5: Solve for x
    x = 317,302,969/11,854
  6. Step 6: Final answer
    x = 26,767.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.