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Finding the Third Proportional to 8,439 and 13,100.25

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Solution

The third proportional to 8,439 and 13,100.25 is: 20,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 13,100.25 = 13,100.25 : x
  2. Step 2: Convert to fraction form
    8,439/13,100.25 = 13,100.25/x
  3. Step 3: Cross multiply
    8,439x = 13,100.25 × 13,100.25
  4. Step 4: Simplify right side
    8,439x = 171,616,550.06
  5. Step 5: Solve for x
    x = 171,616,550.06/8,439
  6. Step 6: Final answer
    x = 20,336.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.