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Finding the Third Proportional to 21,786.75 and 46,191.38

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Solution

The third proportional to 21,786.75 and 46,191.38 is: 97,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.75 : 46,191.38 = 46,191.38 : x
  2. Step 2: Convert to fraction form
    21,786.75/46,191.38 = 46,191.38/x
  3. Step 3: Cross multiply
    21,786.75x = 46,191.38 × 46,191.38
  4. Step 4: Simplify right side
    21,786.75x = 2,133,643,124.39
  5. Step 5: Solve for x
    x = 2,133,643,124.39/21,786.75
  6. Step 6: Final answer
    x = 97,933.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.