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Finding the Third Proportional to 2,975.06 and 6,406.88

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Solution

The third proportional to 2,975.06 and 6,406.88 is: 13,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.06 : 6,406.88 = 6,406.88 : x
  2. Step 2: Convert to fraction form
    2,975.06/6,406.88 = 6,406.88/x
  3. Step 3: Cross multiply
    2,975.06x = 6,406.88 × 6,406.88
  4. Step 4: Simplify right side
    2,975.06x = 41,048,047.27
  5. Step 5: Solve for x
    x = 41,048,047.27/2,975.06
  6. Step 6: Final answer
    x = 13,797.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.