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Finding the Third Proportional to 2,904.19 and 7,662.94

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Solution

The third proportional to 2,904.19 and 7,662.94 is: 20,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.19 : 7,662.94 = 7,662.94 : x
  2. Step 2: Convert to fraction form
    2,904.19/7,662.94 = 7,662.94/x
  3. Step 3: Cross multiply
    2,904.19x = 7,662.94 × 7,662.94
  4. Step 4: Simplify right side
    2,904.19x = 58,720,611.13
  5. Step 5: Solve for x
    x = 58,720,611.13/2,904.19
  6. Step 6: Final answer
    x = 20,219.29

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.