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Finding the Third Proportional to 6,722 and 10,275

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Solution

The third proportional to 6,722 and 10,275 is: 15,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722 : 10,275 = 10,275 : x
  2. Step 2: Convert to fraction form
    6,722/10,275 = 10,275/x
  3. Step 3: Cross multiply
    6,722x = 10,275 × 10,275
  4. Step 4: Simplify right side
    6,722x = 105,575,625
  5. Step 5: Solve for x
    x = 105,575,625/6,722
  6. Step 6: Final answer
    x = 15,705.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.