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Finding the Third Proportional to 4,757 and 10,183

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Solution

The third proportional to 4,757 and 10,183 is: 21,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757 : 10,183 = 10,183 : x
  2. Step 2: Convert to fraction form
    4,757/10,183 = 10,183/x
  3. Step 3: Cross multiply
    4,757x = 10,183 × 10,183
  4. Step 4: Simplify right side
    4,757x = 103,693,489
  5. Step 5: Solve for x
    x = 103,693,489/4,757
  6. Step 6: Final answer
    x = 21,798.08

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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.