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Finding the Third Proportional to 6,559 and 7,099

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Solution

The third proportional to 6,559 and 7,099 is: 7,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559 : 7,099 = 7,099 : x
  2. Step 2: Convert to fraction form
    6,559/7,099 = 7,099/x
  3. Step 3: Cross multiply
    6,559x = 7,099 × 7,099
  4. Step 4: Simplify right side
    6,559x = 50,395,801
  5. Step 5: Solve for x
    x = 50,395,801/6,559
  6. Step 6: Final answer
    x = 7,683.46

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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.