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Finding the Third Proportional to 19,116 and 42,039

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Solution

The third proportional to 19,116 and 42,039 is: 92,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 42,039 = 42,039 : x
  2. Step 2: Convert to fraction form
    19,116/42,039 = 42,039/x
  3. Step 3: Cross multiply
    19,116x = 42,039 × 42,039
  4. Step 4: Simplify right side
    19,116x = 1,767,277,521
  5. Step 5: Solve for x
    x = 1,767,277,521/19,116
  6. Step 6: Final answer
    x = 92,450.17

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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.