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Finding the Third Proportional to 2,463.50 and 5,273

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Solution

The third proportional to 2,463.50 and 5,273 is: 11,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.50 : 5,273 = 5,273 : x
  2. Step 2: Convert to fraction form
    2,463.50/5,273 = 5,273/x
  3. Step 3: Cross multiply
    2,463.50x = 5,273 × 5,273
  4. Step 4: Simplify right side
    2,463.50x = 27,804,529
  5. Step 5: Solve for x
    x = 27,804,529/2,463.50
  6. Step 6: Final answer
    x = 11,286.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.