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Finding the Third Proportional to 41,394 and 57,137

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Solution

The third proportional to 41,394 and 57,137 is: 78,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,394 : 57,137 = 57,137 : x
  2. Step 2: Convert to fraction form
    41,394/57,137 = 57,137/x
  3. Step 3: Cross multiply
    41,394x = 57,137 × 57,137
  4. Step 4: Simplify right side
    41,394x = 3,264,636,769
  5. Step 5: Solve for x
    x = 3,264,636,769/41,394
  6. Step 6: Final answer
    x = 78,867.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.