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Finding the Third Proportional to 4,849 and 7,463

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Solution

The third proportional to 4,849 and 7,463 is: 11,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849 : 7,463 = 7,463 : x
  2. Step 2: Convert to fraction form
    4,849/7,463 = 7,463/x
  3. Step 3: Cross multiply
    4,849x = 7,463 × 7,463
  4. Step 4: Simplify right side
    4,849x = 55,696,369
  5. Step 5: Solve for x
    x = 55,696,369/4,849
  6. Step 6: Final answer
    x = 11,486.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.