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Finding the Third Proportional to 26,002 and 57,300

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Solution

The third proportional to 26,002 and 57,300 is: 126,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002 : 57,300 = 57,300 : x
  2. Step 2: Convert to fraction form
    26,002/57,300 = 57,300/x
  3. Step 3: Cross multiply
    26,002x = 57,300 × 57,300
  4. Step 4: Simplify right side
    26,002x = 3,283,290,000
  5. Step 5: Solve for x
    x = 3,283,290,000/26,002
  6. Step 6: Final answer
    x = 126,270.67

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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.