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Finding the Third Proportional to 19,197 and 39,852

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Solution

The third proportional to 19,197 and 39,852 is: 82,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 39,852 = 39,852 : x
  2. Step 2: Convert to fraction form
    19,197/39,852 = 39,852/x
  3. Step 3: Cross multiply
    19,197x = 39,852 × 39,852
  4. Step 4: Simplify right side
    19,197x = 1,588,181,904
  5. Step 5: Solve for x
    x = 1,588,181,904/19,197
  6. Step 6: Final answer
    x = 82,730.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.