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Finding the Third Proportional to 25,121.94 and 53,886.38

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Solution

The third proportional to 25,121.94 and 53,886.38 is: 115,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,121.94 : 53,886.38 = 53,886.38 : x
  2. Step 2: Convert to fraction form
    25,121.94/53,886.38 = 53,886.38/x
  3. Step 3: Cross multiply
    25,121.94x = 53,886.38 × 53,886.38
  4. Step 4: Simplify right side
    25,121.94x = 2,903,741,410.64
  5. Step 5: Solve for x
    x = 2,903,741,410.64/25,121.94
  6. Step 6: Final answer
    x = 115,585.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.