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Finding the Third Proportional to 19,922.25 and 46,961.63

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Solution

The third proportional to 19,922.25 and 46,961.63 is: 110,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.25 : 46,961.63 = 46,961.63 : x
  2. Step 2: Convert to fraction form
    19,922.25/46,961.63 = 46,961.63/x
  3. Step 3: Cross multiply
    19,922.25x = 46,961.63 × 46,961.63
  4. Step 4: Simplify right side
    19,922.25x = 2,205,394,222.64
  5. Step 5: Solve for x
    x = 2,205,394,222.64/19,922.25
  6. Step 6: Final answer
    x = 110,700.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.