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Finding the Third Proportional to 6,912 and 10,376.44

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Solution

The third proportional to 6,912 and 10,376.44 is: 15,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 10,376.44 = 10,376.44 : x
  2. Step 2: Convert to fraction form
    6,912/10,376.44 = 10,376.44/x
  3. Step 3: Cross multiply
    6,912x = 10,376.44 × 10,376.44
  4. Step 4: Simplify right side
    6,912x = 107,670,455.19
  5. Step 5: Solve for x
    x = 107,670,455.19/6,912
  6. Step 6: Final answer
    x = 15,577.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.