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Finding the Third Proportional to 19,031.63 and 27,413.44

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Solution

The third proportional to 19,031.63 and 27,413.44 is: 39,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031.63 : 27,413.44 = 27,413.44 : x
  2. Step 2: Convert to fraction form
    19,031.63/27,413.44 = 27,413.44/x
  3. Step 3: Cross multiply
    19,031.63x = 27,413.44 × 27,413.44
  4. Step 4: Simplify right side
    19,031.63x = 751,496,555.57
  5. Step 5: Solve for x
    x = 751,496,555.57/19,031.63
  6. Step 6: Final answer
    x = 39,486.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.