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Finding the Third Proportional to 2,926.44 and 6,400.34

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Solution

The third proportional to 2,926.44 and 6,400.34 is: 13,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.44 : 6,400.34 = 6,400.34 : x
  2. Step 2: Convert to fraction form
    2,926.44/6,400.34 = 6,400.34/x
  3. Step 3: Cross multiply
    2,926.44x = 6,400.34 × 6,400.34
  4. Step 4: Simplify right side
    2,926.44x = 40,964,412.62
  5. Step 5: Solve for x
    x = 40,964,412.62/2,926.44
  6. Step 6: Final answer
    x = 13,998.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.