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Finding the Third Proportional to 5,100 and 10,509

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Solution

The third proportional to 5,100 and 10,509 is: 21,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 10,509 = 10,509 : x
  2. Step 2: Convert to fraction form
    5,100/10,509 = 10,509/x
  3. Step 3: Cross multiply
    5,100x = 10,509 × 10,509
  4. Step 4: Simplify right side
    5,100x = 110,439,081
  5. Step 5: Solve for x
    x = 110,439,081/5,100
  6. Step 6: Final answer
    x = 21,654.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.