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Finding the Third Proportional to 25,493.91 and 54,676.69

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Solution

The third proportional to 25,493.91 and 54,676.69 is: 117,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.91 : 54,676.69 = 54,676.69 : x
  2. Step 2: Convert to fraction form
    25,493.91/54,676.69 = 54,676.69/x
  3. Step 3: Cross multiply
    25,493.91x = 54,676.69 × 54,676.69
  4. Step 4: Simplify right side
    25,493.91x = 2,989,540,155.97
  5. Step 5: Solve for x
    x = 2,989,540,155.97/25,493.91
  6. Step 6: Final answer
    x = 117,264.89

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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.