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Finding the Third Proportional to 26,396 and 54,968.50

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Solution

The third proportional to 26,396 and 54,968.50 is: 114,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,396 : 54,968.50 = 54,968.50 : x
  2. Step 2: Convert to fraction form
    26,396/54,968.50 = 54,968.50/x
  3. Step 3: Cross multiply
    26,396x = 54,968.50 × 54,968.50
  4. Step 4: Simplify right side
    26,396x = 3,021,535,992.25
  5. Step 5: Solve for x
    x = 3,021,535,992.25/26,396
  6. Step 6: Final answer
    x = 114,469.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.