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Finding the Third Proportional to 19,904 and 42,112

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Solution

The third proportional to 19,904 and 42,112 is: 89,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904 : 42,112 = 42,112 : x
  2. Step 2: Convert to fraction form
    19,904/42,112 = 42,112/x
  3. Step 3: Cross multiply
    19,904x = 42,112 × 42,112
  4. Step 4: Simplify right side
    19,904x = 1,773,420,544
  5. Step 5: Solve for x
    x = 1,773,420,544/19,904
  6. Step 6: Final answer
    x = 89,098.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.