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Finding the Third Proportional to 12,361.50 and 19,170

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Solution

The third proportional to 12,361.50 and 19,170 is: 29,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.50 : 19,170 = 19,170 : x
  2. Step 2: Convert to fraction form
    12,361.50/19,170 = 19,170/x
  3. Step 3: Cross multiply
    12,361.50x = 19,170 × 19,170
  4. Step 4: Simplify right side
    12,361.50x = 367,488,900
  5. Step 5: Solve for x
    x = 367,488,900/12,361.50
  6. Step 6: Final answer
    x = 29,728.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.