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Finding the Third Proportional to 40,212 and 61,394

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Solution

The third proportional to 40,212 and 61,394 is: 93,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,212 : 61,394 = 61,394 : x
  2. Step 2: Convert to fraction form
    40,212/61,394 = 61,394/x
  3. Step 3: Cross multiply
    40,212x = 61,394 × 61,394
  4. Step 4: Simplify right side
    40,212x = 3,769,223,236
  5. Step 5: Solve for x
    x = 3,769,223,236/40,212
  6. Step 6: Final answer
    x = 93,733.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.