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Finding the Third Proportional to 23,564.75 and 32,963.25

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Solution

The third proportional to 23,564.75 and 32,963.25 is: 46,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.75 : 32,963.25 = 32,963.25 : x
  2. Step 2: Convert to fraction form
    23,564.75/32,963.25 = 32,963.25/x
  3. Step 3: Cross multiply
    23,564.75x = 32,963.25 × 32,963.25
  4. Step 4: Simplify right side
    23,564.75x = 1,086,575,850.56
  5. Step 5: Solve for x
    x = 1,086,575,850.56/23,564.75
  6. Step 6: Final answer
    x = 46,110.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.