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Finding the Third Proportional to 19,568.25 and 42,942.25

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Solution

The third proportional to 19,568.25 and 42,942.25 is: 94,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.25 : 42,942.25 = 42,942.25 : x
  2. Step 2: Convert to fraction form
    19,568.25/42,942.25 = 42,942.25/x
  3. Step 3: Cross multiply
    19,568.25x = 42,942.25 × 42,942.25
  4. Step 4: Simplify right side
    19,568.25x = 1,844,036,835.06
  5. Step 5: Solve for x
    x = 1,844,036,835.06/19,568.25
  6. Step 6: Final answer
    x = 94,236.16

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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.