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Finding the Third Proportional to 19,883.06 and 42,813.19

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Solution

The third proportional to 19,883.06 and 42,813.19 is: 92,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.06 : 42,813.19 = 42,813.19 : x
  2. Step 2: Convert to fraction form
    19,883.06/42,813.19 = 42,813.19/x
  3. Step 3: Cross multiply
    19,883.06x = 42,813.19 × 42,813.19
  4. Step 4: Simplify right side
    19,883.06x = 1,832,969,023.91
  5. Step 5: Solve for x
    x = 1,832,969,023.91/19,883.06
  6. Step 6: Final answer
    x = 92,187.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.