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Finding the Third Proportional to 27,938 and 58,212

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Solution

The third proportional to 27,938 and 58,212 is: 121,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938 : 58,212 = 58,212 : x
  2. Step 2: Convert to fraction form
    27,938/58,212 = 58,212/x
  3. Step 3: Cross multiply
    27,938x = 58,212 × 58,212
  4. Step 4: Simplify right side
    27,938x = 3,388,636,944
  5. Step 5: Solve for x
    x = 3,388,636,944/27,938
  6. Step 6: Final answer
    x = 121,291.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.