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Finding the Third Proportional to 19,619.30 and 42,906.38

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Solution

The third proportional to 19,619.30 and 42,906.38 is: 93,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.30 : 42,906.38 = 42,906.38 : x
  2. Step 2: Convert to fraction form
    19,619.30/42,906.38 = 42,906.38/x
  3. Step 3: Cross multiply
    19,619.30x = 42,906.38 × 42,906.38
  4. Step 4: Simplify right side
    19,619.30x = 1,840,957,015.64
  5. Step 5: Solve for x
    x = 1,840,957,015.64/19,619.30
  6. Step 6: Final answer
    x = 93,834.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.