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Finding the Third Proportional to 10,772 and 11,764

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Solution

The third proportional to 10,772 and 11,764 is: 12,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772 : 11,764 = 11,764 : x
  2. Step 2: Convert to fraction form
    10,772/11,764 = 11,764/x
  3. Step 3: Cross multiply
    10,772x = 11,764 × 11,764
  4. Step 4: Simplify right side
    10,772x = 138,391,696
  5. Step 5: Solve for x
    x = 138,391,696/10,772
  6. Step 6: Final answer
    x = 12,847.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.