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Finding the Third Proportional to 4,645 and 11,234.50

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Solution

The third proportional to 4,645 and 11,234.50 is: 27,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645 : 11,234.50 = 11,234.50 : x
  2. Step 2: Convert to fraction form
    4,645/11,234.50 = 11,234.50/x
  3. Step 3: Cross multiply
    4,645x = 11,234.50 × 11,234.50
  4. Step 4: Simplify right side
    4,645x = 126,213,990.25
  5. Step 5: Solve for x
    x = 126,213,990.25/4,645
  6. Step 6: Final answer
    x = 27,172.01

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.