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Finding the Third Proportional to 2,494 and 5,473

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Solution

The third proportional to 2,494 and 5,473 is: 12,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494 : 5,473 = 5,473 : x
  2. Step 2: Convert to fraction form
    2,494/5,473 = 5,473/x
  3. Step 3: Cross multiply
    2,494x = 5,473 × 5,473
  4. Step 4: Simplify right side
    2,494x = 29,953,729
  5. Step 5: Solve for x
    x = 29,953,729/2,494
  6. Step 6: Final answer
    x = 12,010.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.