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Finding the Third Proportional to 11,199 and 18,594

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Solution

The third proportional to 11,199 and 18,594 is: 30,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199 : 18,594 = 18,594 : x
  2. Step 2: Convert to fraction form
    11,199/18,594 = 18,594/x
  3. Step 3: Cross multiply
    11,199x = 18,594 × 18,594
  4. Step 4: Simplify right side
    11,199x = 345,736,836
  5. Step 5: Solve for x
    x = 345,736,836/11,199
  6. Step 6: Final answer
    x = 30,872.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.