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Finding the Third Proportional to 11,742.75 and 25,373.25

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Solution

The third proportional to 11,742.75 and 25,373.25 is: 54,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.75 : 25,373.25 = 25,373.25 : x
  2. Step 2: Convert to fraction form
    11,742.75/25,373.25 = 25,373.25/x
  3. Step 3: Cross multiply
    11,742.75x = 25,373.25 × 25,373.25
  4. Step 4: Simplify right side
    11,742.75x = 643,801,815.56
  5. Step 5: Solve for x
    x = 643,801,815.56/11,742.75
  6. Step 6: Final answer
    x = 54,825.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.