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Finding the Third Proportional to 6,451 and 9,815

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Solution

The third proportional to 6,451 and 9,815 is: 14,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451 : 9,815 = 9,815 : x
  2. Step 2: Convert to fraction form
    6,451/9,815 = 9,815/x
  3. Step 3: Cross multiply
    6,451x = 9,815 × 9,815
  4. Step 4: Simplify right side
    6,451x = 96,334,225
  5. Step 5: Solve for x
    x = 96,334,225/6,451
  6. Step 6: Final answer
    x = 14,933.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.