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Finding the Third Proportional to 6,549 and 7,089

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Solution

The third proportional to 6,549 and 7,089 is: 7,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 7,089 = 7,089 : x
  2. Step 2: Convert to fraction form
    6,549/7,089 = 7,089/x
  3. Step 3: Cross multiply
    6,549x = 7,089 × 7,089
  4. Step 4: Simplify right side
    6,549x = 50,253,921
  5. Step 5: Solve for x
    x = 50,253,921/6,549
  6. Step 6: Final answer
    x = 7,673.53

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.