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Finding the Third Proportional to 11,946 and 26,241

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Solution

The third proportional to 11,946 and 26,241 is: 57,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946 : 26,241 = 26,241 : x
  2. Step 2: Convert to fraction form
    11,946/26,241 = 26,241/x
  3. Step 3: Cross multiply
    11,946x = 26,241 × 26,241
  4. Step 4: Simplify right side
    11,946x = 688,590,081
  5. Step 5: Solve for x
    x = 688,590,081/11,946
  6. Step 6: Final answer
    x = 57,641.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.