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Finding the Third Proportional to 25,846.75 and 56,076.05

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Solution

The third proportional to 25,846.75 and 56,076.05 is: 121,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.75 : 56,076.05 = 56,076.05 : x
  2. Step 2: Convert to fraction form
    25,846.75/56,076.05 = 56,076.05/x
  3. Step 3: Cross multiply
    25,846.75x = 56,076.05 × 56,076.05
  4. Step 4: Simplify right side
    25,846.75x = 3,144,523,033.13
  5. Step 5: Solve for x
    x = 3,144,523,033.13/25,846.75
  6. Step 6: Final answer
    x = 121,660.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.