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Finding the Third Proportional to 7,148 and 10,767

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Solution

The third proportional to 7,148 and 10,767 is: 16,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148 : 10,767 = 10,767 : x
  2. Step 2: Convert to fraction form
    7,148/10,767 = 10,767/x
  3. Step 3: Cross multiply
    7,148x = 10,767 × 10,767
  4. Step 4: Simplify right side
    7,148x = 115,928,289
  5. Step 5: Solve for x
    x = 115,928,289/7,148
  6. Step 6: Final answer
    x = 16,218.28

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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.