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Finding the Third Proportional to 22,381.31 and 46,919.25

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Solution

The third proportional to 22,381.31 and 46,919.25 is: 98,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.31 : 46,919.25 = 46,919.25 : x
  2. Step 2: Convert to fraction form
    22,381.31/46,919.25 = 46,919.25/x
  3. Step 3: Cross multiply
    22,381.31x = 46,919.25 × 46,919.25
  4. Step 4: Simplify right side
    22,381.31x = 2,201,416,020.56
  5. Step 5: Solve for x
    x = 2,201,416,020.56/22,381.31
  6. Step 6: Final answer
    x = 98,359.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.