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Finding the Third Proportional to 10,676.75 and 17,153.75

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Solution

The third proportional to 10,676.75 and 17,153.75 is: 27,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.75 : 17,153.75 = 17,153.75 : x
  2. Step 2: Convert to fraction form
    10,676.75/17,153.75 = 17,153.75/x
  3. Step 3: Cross multiply
    10,676.75x = 17,153.75 × 17,153.75
  4. Step 4: Simplify right side
    10,676.75x = 294,251,139.06
  5. Step 5: Solve for x
    x = 294,251,139.06/10,676.75
  6. Step 6: Final answer
    x = 27,559.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.