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Finding the Third Proportional to 19,822.50 and 27,181.13

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Solution

The third proportional to 19,822.50 and 27,181.13 is: 37,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.50 : 27,181.13 = 27,181.13 : x
  2. Step 2: Convert to fraction form
    19,822.50/27,181.13 = 27,181.13/x
  3. Step 3: Cross multiply
    19,822.50x = 27,181.13 × 27,181.13
  4. Step 4: Simplify right side
    19,822.50x = 738,813,556.27
  5. Step 5: Solve for x
    x = 738,813,556.27/19,822.50
  6. Step 6: Final answer
    x = 37,271.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.