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Finding the Third Proportional to 19,447 and 30,170

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Solution

The third proportional to 19,447 and 30,170 is: 46,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447 : 30,170 = 30,170 : x
  2. Step 2: Convert to fraction form
    19,447/30,170 = 30,170/x
  3. Step 3: Cross multiply
    19,447x = 30,170 × 30,170
  4. Step 4: Simplify right side
    19,447x = 910,228,900
  5. Step 5: Solve for x
    x = 910,228,900/19,447
  6. Step 6: Final answer
    x = 46,805.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.