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Finding the Third Proportional to 7,146 and 10,764

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Solution

The third proportional to 7,146 and 10,764 is: 16,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 10,764 = 10,764 : x
  2. Step 2: Convert to fraction form
    7,146/10,764 = 10,764/x
  3. Step 3: Cross multiply
    7,146x = 10,764 × 10,764
  4. Step 4: Simplify right side
    7,146x = 115,863,696
  5. Step 5: Solve for x
    x = 115,863,696/7,146
  6. Step 6: Final answer
    x = 16,213.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.