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Finding the Third Proportional to 4,857 and 10,509

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Solution

The third proportional to 4,857 and 10,509 is: 22,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 10,509 = 10,509 : x
  2. Step 2: Convert to fraction form
    4,857/10,509 = 10,509/x
  3. Step 3: Cross multiply
    4,857x = 10,509 × 10,509
  4. Step 4: Simplify right side
    4,857x = 110,439,081
  5. Step 5: Solve for x
    x = 110,439,081/4,857
  6. Step 6: Final answer
    x = 22,738.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.