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Finding the Third Proportional to 12,091 and 26,558

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Solution

The third proportional to 12,091 and 26,558 is: 58,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091 : 26,558 = 26,558 : x
  2. Step 2: Convert to fraction form
    12,091/26,558 = 26,558/x
  3. Step 3: Cross multiply
    12,091x = 26,558 × 26,558
  4. Step 4: Simplify right side
    12,091x = 705,327,364
  5. Step 5: Solve for x
    x = 705,327,364/12,091
  6. Step 6: Final answer
    x = 58,334.91

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