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Finding the Third Proportional to 19,400 and 30,022

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Solution

The third proportional to 19,400 and 30,022 is: 46,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 30,022 = 30,022 : x
  2. Step 2: Convert to fraction form
    19,400/30,022 = 30,022/x
  3. Step 3: Cross multiply
    19,400x = 30,022 × 30,022
  4. Step 4: Simplify right side
    19,400x = 901,320,484
  5. Step 5: Solve for x
    x = 901,320,484/19,400
  6. Step 6: Final answer
    x = 46,459.82

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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.