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Finding the Third Proportional to 19,517 and 42,922

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Solution

The third proportional to 19,517 and 42,922 is: 94,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517 : 42,922 = 42,922 : x
  2. Step 2: Convert to fraction form
    19,517/42,922 = 42,922/x
  3. Step 3: Cross multiply
    19,517x = 42,922 × 42,922
  4. Step 4: Simplify right side
    19,517x = 1,842,298,084
  5. Step 5: Solve for x
    x = 1,842,298,084/19,517
  6. Step 6: Final answer
    x = 94,394.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.