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Finding the Third Proportional to 13,640 and 28,148

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Solution

The third proportional to 13,640 and 28,148 is: 58,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 28,148 = 28,148 : x
  2. Step 2: Convert to fraction form
    13,640/28,148 = 28,148/x
  3. Step 3: Cross multiply
    13,640x = 28,148 × 28,148
  4. Step 4: Simplify right side
    13,640x = 792,309,904
  5. Step 5: Solve for x
    x = 792,309,904/13,640
  6. Step 6: Final answer
    x = 58,087.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.