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Finding the Third Proportional to 13,554 and 32,651

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Solution

The third proportional to 13,554 and 32,651 is: 78,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554 : 32,651 = 32,651 : x
  2. Step 2: Convert to fraction form
    13,554/32,651 = 32,651/x
  3. Step 3: Cross multiply
    13,554x = 32,651 × 32,651
  4. Step 4: Simplify right side
    13,554x = 1,066,087,801
  5. Step 5: Solve for x
    x = 1,066,087,801/13,554
  6. Step 6: Final answer
    x = 78,654.85

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.