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Finding the Third Proportional to 19,460 and 39,766

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Solution

The third proportional to 19,460 and 39,766 is: 81,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460 : 39,766 = 39,766 : x
  2. Step 2: Convert to fraction form
    19,460/39,766 = 39,766/x
  3. Step 3: Cross multiply
    19,460x = 39,766 × 39,766
  4. Step 4: Simplify right side
    19,460x = 1,581,334,756
  5. Step 5: Solve for x
    x = 1,581,334,756/19,460
  6. Step 6: Final answer
    x = 81,260.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.