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Finding the Third Proportional to 38,843.56 and 84,606.44

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Solution

The third proportional to 38,843.56 and 84,606.44 is: 184,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,843.56 : 84,606.44 = 84,606.44 : x
  2. Step 2: Convert to fraction form
    38,843.56/84,606.44 = 84,606.44/x
  3. Step 3: Cross multiply
    38,843.56x = 84,606.44 × 84,606.44
  4. Step 4: Simplify right side
    38,843.56x = 7,158,249,266.44
  5. Step 5: Solve for x
    x = 7,158,249,266.44/38,843.56
  6. Step 6: Final answer
    x = 184,284.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.