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Finding the Third Proportional to 12,728 and 21,148

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Solution

The third proportional to 12,728 and 21,148 is: 35,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728 : 21,148 = 21,148 : x
  2. Step 2: Convert to fraction form
    12,728/21,148 = 21,148/x
  3. Step 3: Cross multiply
    12,728x = 21,148 × 21,148
  4. Step 4: Simplify right side
    12,728x = 447,237,904
  5. Step 5: Solve for x
    x = 447,237,904/12,728
  6. Step 6: Final answer
    x = 35,138.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.