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Finding the Third Proportional to 7,610 and 11,738

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Solution

The third proportional to 7,610 and 11,738 is: 18,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610 : 11,738 = 11,738 : x
  2. Step 2: Convert to fraction form
    7,610/11,738 = 11,738/x
  3. Step 3: Cross multiply
    7,610x = 11,738 × 11,738
  4. Step 4: Simplify right side
    7,610x = 137,780,644
  5. Step 5: Solve for x
    x = 137,780,644/7,610
  6. Step 6: Final answer
    x = 18,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.