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Finding the Third Proportional to 43,212 and 58,073

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Solution

The third proportional to 43,212 and 58,073 is: 78,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,212 : 58,073 = 58,073 : x
  2. Step 2: Convert to fraction form
    43,212/58,073 = 58,073/x
  3. Step 3: Cross multiply
    43,212x = 58,073 × 58,073
  4. Step 4: Simplify right side
    43,212x = 3,372,473,329
  5. Step 5: Solve for x
    x = 3,372,473,329/43,212
  6. Step 6: Final answer
    x = 78,044.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.