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Finding the Third Proportional to 5,756 and 6,607

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Solution

The third proportional to 5,756 and 6,607 is: 7,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756 : 6,607 = 6,607 : x
  2. Step 2: Convert to fraction form
    5,756/6,607 = 6,607/x
  3. Step 3: Cross multiply
    5,756x = 6,607 × 6,607
  4. Step 4: Simplify right side
    5,756x = 43,652,449
  5. Step 5: Solve for x
    x = 43,652,449/5,756
  6. Step 6: Final answer
    x = 7,583.82

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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.