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Finding the Third Proportional to 6,169 and 8,443.50

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Solution

The third proportional to 6,169 and 8,443.50 is: 11,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169 : 8,443.50 = 8,443.50 : x
  2. Step 2: Convert to fraction form
    6,169/8,443.50 = 8,443.50/x
  3. Step 3: Cross multiply
    6,169x = 8,443.50 × 8,443.50
  4. Step 4: Simplify right side
    6,169x = 71,292,692.25
  5. Step 5: Solve for x
    x = 71,292,692.25/6,169
  6. Step 6: Final answer
    x = 11,556.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.