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Finding the Third Proportional to 22,589 and 30,187.88

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Solution

The third proportional to 22,589 and 30,187.88 is: 40,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589 : 30,187.88 = 30,187.88 : x
  2. Step 2: Convert to fraction form
    22,589/30,187.88 = 30,187.88/x
  3. Step 3: Cross multiply
    22,589x = 30,187.88 × 30,187.88
  4. Step 4: Simplify right side
    22,589x = 911,307,797.02
  5. Step 5: Solve for x
    x = 911,307,797.02/22,589
  6. Step 6: Final answer
    x = 40,342.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.