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Finding the Third Proportional to 12,013 and 19,190

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Solution

The third proportional to 12,013 and 19,190 is: 30,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013 : 19,190 = 19,190 : x
  2. Step 2: Convert to fraction form
    12,013/19,190 = 19,190/x
  3. Step 3: Cross multiply
    12,013x = 19,190 × 19,190
  4. Step 4: Simplify right side
    12,013x = 368,256,100
  5. Step 5: Solve for x
    x = 368,256,100/12,013
  6. Step 6: Final answer
    x = 30,654.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.