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Finding the Third Proportional to 19,481.77 and 42,071.91

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Solution

The third proportional to 19,481.77 and 42,071.91 is: 90,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481.77 : 42,071.91 = 42,071.91 : x
  2. Step 2: Convert to fraction form
    19,481.77/42,071.91 = 42,071.91/x
  3. Step 3: Cross multiply
    19,481.77x = 42,071.91 × 42,071.91
  4. Step 4: Simplify right side
    19,481.77x = 1,770,045,295.51
  5. Step 5: Solve for x
    x = 1,770,045,295.51/19,481.77
  6. Step 6: Final answer
    x = 90,856.51

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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.