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Finding the Third Proportional to 5,722 and 12,300

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Solution

The third proportional to 5,722 and 12,300 is: 26,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722 : 12,300 = 12,300 : x
  2. Step 2: Convert to fraction form
    5,722/12,300 = 12,300/x
  3. Step 3: Cross multiply
    5,722x = 12,300 × 12,300
  4. Step 4: Simplify right side
    5,722x = 151,290,000
  5. Step 5: Solve for x
    x = 151,290,000/5,722
  6. Step 6: Final answer
    x = 26,440.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.