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Finding the Third Proportional to 6,309.50 and 13,447

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Solution

The third proportional to 6,309.50 and 13,447 is: 28,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.50 : 13,447 = 13,447 : x
  2. Step 2: Convert to fraction form
    6,309.50/13,447 = 13,447/x
  3. Step 3: Cross multiply
    6,309.50x = 13,447 × 13,447
  4. Step 4: Simplify right side
    6,309.50x = 180,821,809
  5. Step 5: Solve for x
    x = 180,821,809/6,309.50
  6. Step 6: Final answer
    x = 28,658.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.