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Finding the Third Proportional to 5,945 and 6,569

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Solution

The third proportional to 5,945 and 6,569 is: 7,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945 : 6,569 = 6,569 : x
  2. Step 2: Convert to fraction form
    5,945/6,569 = 6,569/x
  3. Step 3: Cross multiply
    5,945x = 6,569 × 6,569
  4. Step 4: Simplify right side
    5,945x = 43,151,761
  5. Step 5: Solve for x
    x = 43,151,761/5,945
  6. Step 6: Final answer
    x = 7,258.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.