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Finding the Third Proportional to 25,212.38 and 53,736.75

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Solution

The third proportional to 25,212.38 and 53,736.75 is: 114,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,212.38 : 53,736.75 = 53,736.75 : x
  2. Step 2: Convert to fraction form
    25,212.38/53,736.75 = 53,736.75/x
  3. Step 3: Cross multiply
    25,212.38x = 53,736.75 × 53,736.75
  4. Step 4: Simplify right side
    25,212.38x = 2,887,638,300.56
  5. Step 5: Solve for x
    x = 2,887,638,300.56/25,212.38
  6. Step 6: Final answer
    x = 114,532.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.