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Finding the Third Proportional to 11,765.25 and 25,747.88

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Solution

The third proportional to 11,765.25 and 25,747.88 is: 56,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 25,747.88 = 25,747.88 : x
  2. Step 2: Convert to fraction form
    11,765.25/25,747.88 = 25,747.88/x
  3. Step 3: Cross multiply
    11,765.25x = 25,747.88 × 25,747.88
  4. Step 4: Simplify right side
    11,765.25x = 662,953,067.02
  5. Step 5: Solve for x
    x = 662,953,067.02/11,765.25
  6. Step 6: Final answer
    x = 56,348.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.