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Finding the Third Proportional to 10,736.25 and 23,060.25

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Solution

The third proportional to 10,736.25 and 23,060.25 is: 49,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.25 : 23,060.25 = 23,060.25 : x
  2. Step 2: Convert to fraction form
    10,736.25/23,060.25 = 23,060.25/x
  3. Step 3: Cross multiply
    10,736.25x = 23,060.25 × 23,060.25
  4. Step 4: Simplify right side
    10,736.25x = 531,775,130.06
  5. Step 5: Solve for x
    x = 531,775,130.06/10,736.25
  6. Step 6: Final answer
    x = 49,530.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.