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Finding the Third Proportional to 19,435.25 and 46,849.64

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Solution

The third proportional to 19,435.25 and 46,849.64 is: 112,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,435.25 : 46,849.64 = 46,849.64 : x
  2. Step 2: Convert to fraction form
    19,435.25/46,849.64 = 46,849.64/x
  3. Step 3: Cross multiply
    19,435.25x = 46,849.64 × 46,849.64
  4. Step 4: Simplify right side
    19,435.25x = 2,194,888,826.69
  5. Step 5: Solve for x
    x = 2,194,888,826.69/19,435.25
  6. Step 6: Final answer
    x = 112,933.38

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.