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Finding the Third Proportional to 7,670 and 11,758

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Solution

The third proportional to 7,670 and 11,758 is: 18,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 11,758 = 11,758 : x
  2. Step 2: Convert to fraction form
    7,670/11,758 = 11,758/x
  3. Step 3: Cross multiply
    7,670x = 11,758 × 11,758
  4. Step 4: Simplify right side
    7,670x = 138,250,564
  5. Step 5: Solve for x
    x = 138,250,564/7,670
  6. Step 6: Final answer
    x = 18,024.85

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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.