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Finding the Third Proportional to 21,361.46 and 46,743.33

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Solution

The third proportional to 21,361.46 and 46,743.33 is: 102,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.46 : 46,743.33 = 46,743.33 : x
  2. Step 2: Convert to fraction form
    21,361.46/46,743.33 = 46,743.33/x
  3. Step 3: Cross multiply
    21,361.46x = 46,743.33 × 46,743.33
  4. Step 4: Simplify right side
    21,361.46x = 2,184,938,724.20
  5. Step 5: Solve for x
    x = 2,184,938,724.20/21,361.46
  6. Step 6: Final answer
    x = 102,284.17

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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.