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Finding the Third Proportional to 13,500 and 19,736

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Solution

The third proportional to 13,500 and 19,736 is: 28,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 19,736 = 19,736 : x
  2. Step 2: Convert to fraction form
    13,500/19,736 = 19,736/x
  3. Step 3: Cross multiply
    13,500x = 19,736 × 19,736
  4. Step 4: Simplify right side
    13,500x = 389,509,696
  5. Step 5: Solve for x
    x = 389,509,696/13,500
  6. Step 6: Final answer
    x = 28,852.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.