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Finding the Third Proportional to 26,828 and 58,968

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Solution

The third proportional to 26,828 and 58,968 is: 129,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,828 : 58,968 = 58,968 : x
  2. Step 2: Convert to fraction form
    26,828/58,968 = 58,968/x
  3. Step 3: Cross multiply
    26,828x = 58,968 × 58,968
  4. Step 4: Simplify right side
    26,828x = 3,477,225,024
  5. Step 5: Solve for x
    x = 3,477,225,024/26,828
  6. Step 6: Final answer
    x = 129,611.79

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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.