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Finding the Third Proportional to 3,009.94 and 6,293.25

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Solution

The third proportional to 3,009.94 and 6,293.25 is: 13,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.94 : 6,293.25 = 6,293.25 : x
  2. Step 2: Convert to fraction form
    3,009.94/6,293.25 = 6,293.25/x
  3. Step 3: Cross multiply
    3,009.94x = 6,293.25 × 6,293.25
  4. Step 4: Simplify right side
    3,009.94x = 39,604,995.56
  5. Step 5: Solve for x
    x = 39,604,995.56/3,009.94
  6. Step 6: Final answer
    x = 13,158.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.