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Finding the Third Proportional to 12,829 and 19,191

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Solution

The third proportional to 12,829 and 19,191 is: 28,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829 : 19,191 = 19,191 : x
  2. Step 2: Convert to fraction form
    12,829/19,191 = 19,191/x
  3. Step 3: Cross multiply
    12,829x = 19,191 × 19,191
  4. Step 4: Simplify right side
    12,829x = 368,294,481
  5. Step 5: Solve for x
    x = 368,294,481/12,829
  6. Step 6: Final answer
    x = 28,707.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.