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Finding the Third Proportional to 5,075 and 5,831

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Solution

The third proportional to 5,075 and 5,831 is: 6,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 5,831 = 5,831 : x
  2. Step 2: Convert to fraction form
    5,075/5,831 = 5,831/x
  3. Step 3: Cross multiply
    5,075x = 5,831 × 5,831
  4. Step 4: Simplify right side
    5,075x = 34,000,561
  5. Step 5: Solve for x
    x = 34,000,561/5,075
  6. Step 6: Final answer
    x = 6,699.62

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.