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Finding the Third Proportional to 5,506.50 and 6,109.50

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Solution

The third proportional to 5,506.50 and 6,109.50 is: 6,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.50 : 6,109.50 = 6,109.50 : x
  2. Step 2: Convert to fraction form
    5,506.50/6,109.50 = 6,109.50/x
  3. Step 3: Cross multiply
    5,506.50x = 6,109.50 × 6,109.50
  4. Step 4: Simplify right side
    5,506.50x = 37,325,990.25
  5. Step 5: Solve for x
    x = 37,325,990.25/5,506.50
  6. Step 6: Final answer
    x = 6,778.53

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.