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Finding the Third Proportional to 19,182 and 39,696

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Solution

The third proportional to 19,182 and 39,696 is: 82,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182 : 39,696 = 39,696 : x
  2. Step 2: Convert to fraction form
    19,182/39,696 = 39,696/x
  3. Step 3: Cross multiply
    19,182x = 39,696 × 39,696
  4. Step 4: Simplify right side
    19,182x = 1,575,772,416
  5. Step 5: Solve for x
    x = 1,575,772,416/19,182
  6. Step 6: Final answer
    x = 82,148.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.