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Finding the Third Proportional to 1,192 and 2,463

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Solution

The third proportional to 1,192 and 2,463 is: 5,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192 : 2,463 = 2,463 : x
  2. Step 2: Convert to fraction form
    1,192/2,463 = 2,463/x
  3. Step 3: Cross multiply
    1,192x = 2,463 × 2,463
  4. Step 4: Simplify right side
    1,192x = 6,066,369
  5. Step 5: Solve for x
    x = 6,066,369/1,192
  6. Step 6: Final answer
    x = 5,089.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.