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Finding the Third Proportional to 18,199 and 38,594

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Solution

The third proportional to 18,199 and 38,594 is: 81,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199 : 38,594 = 38,594 : x
  2. Step 2: Convert to fraction form
    18,199/38,594 = 38,594/x
  3. Step 3: Cross multiply
    18,199x = 38,594 × 38,594
  4. Step 4: Simplify right side
    18,199x = 1,489,496,836
  5. Step 5: Solve for x
    x = 1,489,496,836/18,199
  6. Step 6: Final answer
    x = 81,844.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.