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Finding the Third Proportional to 13,706 and 19,236

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Solution

The third proportional to 13,706 and 19,236 is: 26,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 19,236 = 19,236 : x
  2. Step 2: Convert to fraction form
    13,706/19,236 = 19,236/x
  3. Step 3: Cross multiply
    13,706x = 19,236 × 19,236
  4. Step 4: Simplify right side
    13,706x = 370,023,696
  5. Step 5: Solve for x
    x = 370,023,696/13,706
  6. Step 6: Final answer
    x = 26,997.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.