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Finding the Third Proportional to 28,122 and 57,696

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Solution

The third proportional to 28,122 and 57,696 is: 118,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,122 : 57,696 = 57,696 : x
  2. Step 2: Convert to fraction form
    28,122/57,696 = 57,696/x
  3. Step 3: Cross multiply
    28,122x = 57,696 × 57,696
  4. Step 4: Simplify right side
    28,122x = 3,328,828,416
  5. Step 5: Solve for x
    x = 3,328,828,416/28,122
  6. Step 6: Final answer
    x = 118,370.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.