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Finding the Third Proportional to 19,808 and 30,770

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Solution

The third proportional to 19,808 and 30,770 is: 47,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808 : 30,770 = 30,770 : x
  2. Step 2: Convert to fraction form
    19,808/30,770 = 30,770/x
  3. Step 3: Cross multiply
    19,808x = 30,770 × 30,770
  4. Step 4: Simplify right side
    19,808x = 946,792,900
  5. Step 5: Solve for x
    x = 946,792,900/19,808
  6. Step 6: Final answer
    x = 47,798.51

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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.