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Finding the Third Proportional to 4,738 and 11,464

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Solution

The third proportional to 4,738 and 11,464 is: 27,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738 : 11,464 = 11,464 : x
  2. Step 2: Convert to fraction form
    4,738/11,464 = 11,464/x
  3. Step 3: Cross multiply
    4,738x = 11,464 × 11,464
  4. Step 4: Simplify right side
    4,738x = 131,423,296
  5. Step 5: Solve for x
    x = 131,423,296/4,738
  6. Step 6: Final answer
    x = 27,738.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.