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Finding the Third Proportional to 11,746 and 26,116

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Solution

The third proportional to 11,746 and 26,116 is: 58,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 26,116 = 26,116 : x
  2. Step 2: Convert to fraction form
    11,746/26,116 = 26,116/x
  3. Step 3: Cross multiply
    11,746x = 26,116 × 26,116
  4. Step 4: Simplify right side
    11,746x = 682,045,456
  5. Step 5: Solve for x
    x = 682,045,456/11,746
  6. Step 6: Final answer
    x = 58,066.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.