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Finding the Third Proportional to 7,676.25 and 11,737.13

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Solution

The third proportional to 7,676.25 and 11,737.13 is: 17,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.25 : 11,737.13 = 11,737.13 : x
  2. Step 2: Convert to fraction form
    7,676.25/11,737.13 = 11,737.13/x
  3. Step 3: Cross multiply
    7,676.25x = 11,737.13 × 11,737.13
  4. Step 4: Simplify right side
    7,676.25x = 137,760,103.27
  5. Step 5: Solve for x
    x = 137,760,103.27/7,676.25
  6. Step 6: Final answer
    x = 17,946.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.