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Finding the Third Proportional to 5,296 and 7,791

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Solution

The third proportional to 5,296 and 7,791 is: 11,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296 : 7,791 = 7,791 : x
  2. Step 2: Convert to fraction form
    5,296/7,791 = 7,791/x
  3. Step 3: Cross multiply
    5,296x = 7,791 × 7,791
  4. Step 4: Simplify right side
    5,296x = 60,699,681
  5. Step 5: Solve for x
    x = 60,699,681/5,296
  6. Step 6: Final answer
    x = 11,461.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.