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Finding the Third Proportional to 1,926.91 and 4,213.27

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Solution

The third proportional to 1,926.91 and 4,213.27 is: 9,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.91 : 4,213.27 = 4,213.27 : x
  2. Step 2: Convert to fraction form
    1,926.91/4,213.27 = 4,213.27/x
  3. Step 3: Cross multiply
    1,926.91x = 4,213.27 × 4,213.27
  4. Step 4: Simplify right side
    1,926.91x = 17,751,607.23
  5. Step 5: Solve for x
    x = 17,751,607.23/1,926.91
  6. Step 6: Final answer
    x = 9,212.45

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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.