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Finding the Third Proportional to 19,171.22 and 39,272.06

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Solution

The third proportional to 19,171.22 and 39,272.06 is: 80,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,171.22 : 39,272.06 = 39,272.06 : x
  2. Step 2: Convert to fraction form
    19,171.22/39,272.06 = 39,272.06/x
  3. Step 3: Cross multiply
    19,171.22x = 39,272.06 × 39,272.06
  4. Step 4: Simplify right side
    19,171.22x = 1,542,294,893.00
  5. Step 5: Solve for x
    x = 1,542,294,893.00/19,171.22
  6. Step 6: Final answer
    x = 80,448.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.