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Finding the Third Proportional to 3,148 and 3,463

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Solution

The third proportional to 3,148 and 3,463 is: 3,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148 : 3,463 = 3,463 : x
  2. Step 2: Convert to fraction form
    3,148/3,463 = 3,463/x
  3. Step 3: Cross multiply
    3,148x = 3,463 × 3,463
  4. Step 4: Simplify right side
    3,148x = 11,992,369
  5. Step 5: Solve for x
    x = 11,992,369/3,148
  6. Step 6: Final answer
    x = 3,809.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.