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Finding the Third Proportional to 6,208.69 and 13,305.28

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Solution

The third proportional to 6,208.69 and 13,305.28 is: 28,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.69 : 13,305.28 = 13,305.28 : x
  2. Step 2: Convert to fraction form
    6,208.69/13,305.28 = 13,305.28/x
  3. Step 3: Cross multiply
    6,208.69x = 13,305.28 × 13,305.28
  4. Step 4: Simplify right side
    6,208.69x = 177,030,509.14
  5. Step 5: Solve for x
    x = 177,030,509.14/6,208.69
  6. Step 6: Final answer
    x = 28,513.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.