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Finding the Third Proportional to 13,634.75 and 29,733.25

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Solution

The third proportional to 13,634.75 and 29,733.25 is: 64,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.75 : 29,733.25 = 29,733.25 : x
  2. Step 2: Convert to fraction form
    13,634.75/29,733.25 = 29,733.25/x
  3. Step 3: Cross multiply
    13,634.75x = 29,733.25 × 29,733.25
  4. Step 4: Simplify right side
    13,634.75x = 884,066,155.56
  5. Step 5: Solve for x
    x = 884,066,155.56/13,634.75
  6. Step 6: Final answer
    x = 64,839.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.