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Finding the Third Proportional to 19,896 and 42,905

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Solution

The third proportional to 19,896 and 42,905 is: 92,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896 : 42,905 = 42,905 : x
  2. Step 2: Convert to fraction form
    19,896/42,905 = 42,905/x
  3. Step 3: Cross multiply
    19,896x = 42,905 × 42,905
  4. Step 4: Simplify right side
    19,896x = 1,840,839,025
  5. Step 5: Solve for x
    x = 1,840,839,025/19,896
  6. Step 6: Final answer
    x = 92,523.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.