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Finding the Third Proportional to 5,351 and 12,579.75

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Solution

The third proportional to 5,351 and 12,579.75 is: 29,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351 : 12,579.75 = 12,579.75 : x
  2. Step 2: Convert to fraction form
    5,351/12,579.75 = 12,579.75/x
  3. Step 3: Cross multiply
    5,351x = 12,579.75 × 12,579.75
  4. Step 4: Simplify right side
    5,351x = 158,250,110.06
  5. Step 5: Solve for x
    x = 158,250,110.06/5,351
  6. Step 6: Final answer
    x = 29,573.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.