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Finding the Third Proportional to 16,449.75 and 23,444.44

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Solution

The third proportional to 16,449.75 and 23,444.44 is: 33,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.75 : 23,444.44 = 23,444.44 : x
  2. Step 2: Convert to fraction form
    16,449.75/23,444.44 = 23,444.44/x
  3. Step 3: Cross multiply
    16,449.75x = 23,444.44 × 23,444.44
  4. Step 4: Simplify right side
    16,449.75x = 549,641,649.69
  5. Step 5: Solve for x
    x = 549,641,649.69/16,449.75
  6. Step 6: Final answer
    x = 33,413.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.