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Finding the Third Proportional to 2,976.75 and 5,027.06

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Solution

The third proportional to 2,976.75 and 5,027.06 is: 8,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.75 : 5,027.06 = 5,027.06 : x
  2. Step 2: Convert to fraction form
    2,976.75/5,027.06 = 5,027.06/x
  3. Step 3: Cross multiply
    2,976.75x = 5,027.06 × 5,027.06
  4. Step 4: Simplify right side
    2,976.75x = 25,271,357.38
  5. Step 5: Solve for x
    x = 25,271,357.38/2,976.75
  6. Step 6: Final answer
    x = 8,489.58

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.