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Finding the Third Proportional to 6,509.25 and 13,326.75

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Solution

The third proportional to 6,509.25 and 13,326.75 is: 27,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.25 : 13,326.75 = 13,326.75 : x
  2. Step 2: Convert to fraction form
    6,509.25/13,326.75 = 13,326.75/x
  3. Step 3: Cross multiply
    6,509.25x = 13,326.75 × 13,326.75
  4. Step 4: Simplify right side
    6,509.25x = 177,602,265.56
  5. Step 5: Solve for x
    x = 177,602,265.56/6,509.25
  6. Step 6: Final answer
    x = 27,284.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.