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Finding the Third Proportional to 19,778 and 30,802

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Solution

The third proportional to 19,778 and 30,802 is: 47,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778 : 30,802 = 30,802 : x
  2. Step 2: Convert to fraction form
    19,778/30,802 = 30,802/x
  3. Step 3: Cross multiply
    19,778x = 30,802 × 30,802
  4. Step 4: Simplify right side
    19,778x = 948,763,204
  5. Step 5: Solve for x
    x = 948,763,204/19,778
  6. Step 6: Final answer
    x = 47,970.63

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.