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Finding the Third Proportional to 1,492 and 2,273

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Solution

The third proportional to 1,492 and 2,273 is: 3,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492 : 2,273 = 2,273 : x
  2. Step 2: Convert to fraction form
    1,492/2,273 = 2,273/x
  3. Step 3: Cross multiply
    1,492x = 2,273 × 2,273
  4. Step 4: Simplify right side
    1,492x = 5,166,529
  5. Step 5: Solve for x
    x = 5,166,529/1,492
  6. Step 6: Final answer
    x = 3,462.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.