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Finding the Third Proportional to 1,161 and 2,453

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Solution

The third proportional to 1,161 and 2,453 is: 5,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161 : 2,453 = 2,453 : x
  2. Step 2: Convert to fraction form
    1,161/2,453 = 2,453/x
  3. Step 3: Cross multiply
    1,161x = 2,453 × 2,453
  4. Step 4: Simplify right side
    1,161x = 6,017,209
  5. Step 5: Solve for x
    x = 6,017,209/1,161
  6. Step 6: Final answer
    x = 5,182.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.