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Finding the Third Proportional to 2,976.19 and 6,564.75

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Solution

The third proportional to 2,976.19 and 6,564.75 is: 14,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.19 : 6,564.75 = 6,564.75 : x
  2. Step 2: Convert to fraction form
    2,976.19/6,564.75 = 6,564.75/x
  3. Step 3: Cross multiply
    2,976.19x = 6,564.75 × 6,564.75
  4. Step 4: Simplify right side
    2,976.19x = 43,095,942.56
  5. Step 5: Solve for x
    x = 43,095,942.56/2,976.19
  6. Step 6: Final answer
    x = 14,480.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.