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Finding the Third Proportional to 11,676.75 and 25,598.06

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Solution

The third proportional to 11,676.75 and 25,598.06 is: 56,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.75 : 25,598.06 = 25,598.06 : x
  2. Step 2: Convert to fraction form
    11,676.75/25,598.06 = 25,598.06/x
  3. Step 3: Cross multiply
    11,676.75x = 25,598.06 × 25,598.06
  4. Step 4: Simplify right side
    11,676.75x = 655,260,803.75
  5. Step 5: Solve for x
    x = 655,260,803.75/11,676.75
  6. Step 6: Final answer
    x = 56,116.71

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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.