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Finding the Third Proportional to 5,310.56 and 7,968.38

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Solution

The third proportional to 5,310.56 and 7,968.38 is: 11,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.56 : 7,968.38 = 7,968.38 : x
  2. Step 2: Convert to fraction form
    5,310.56/7,968.38 = 7,968.38/x
  3. Step 3: Cross multiply
    5,310.56x = 7,968.38 × 7,968.38
  4. Step 4: Simplify right side
    5,310.56x = 63,495,000.14
  5. Step 5: Solve for x
    x = 63,495,000.14/5,310.56
  6. Step 6: Final answer
    x = 11,956.36

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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.