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Finding the Third Proportional to 11,713.78 and 25,507.41

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Solution

The third proportional to 11,713.78 and 25,507.41 is: 55,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.78 : 25,507.41 = 25,507.41 : x
  2. Step 2: Convert to fraction form
    11,713.78/25,507.41 = 25,507.41/x
  3. Step 3: Cross multiply
    11,713.78x = 25,507.41 × 25,507.41
  4. Step 4: Simplify right side
    11,713.78x = 650,627,773.60
  5. Step 5: Solve for x
    x = 650,627,773.60/11,713.78
  6. Step 6: Final answer
    x = 55,543.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.