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Finding the Third Proportional to 14,636.25 and 31,736.25

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Solution

The third proportional to 14,636.25 and 31,736.25 is: 68,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.25 : 31,736.25 = 31,736.25 : x
  2. Step 2: Convert to fraction form
    14,636.25/31,736.25 = 31,736.25/x
  3. Step 3: Cross multiply
    14,636.25x = 31,736.25 × 31,736.25
  4. Step 4: Simplify right side
    14,636.25x = 1,007,189,564.06
  5. Step 5: Solve for x
    x = 1,007,189,564.06/14,636.25
  6. Step 6: Final answer
    x = 68,814.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.