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Finding the Third Proportional to 2,578 and 6,085

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Solution

The third proportional to 2,578 and 6,085 is: 14,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578 : 6,085 = 6,085 : x
  2. Step 2: Convert to fraction form
    2,578/6,085 = 6,085/x
  3. Step 3: Cross multiply
    2,578x = 6,085 × 6,085
  4. Step 4: Simplify right side
    2,578x = 37,027,225
  5. Step 5: Solve for x
    x = 37,027,225/2,578
  6. Step 6: Final answer
    x = 14,362.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.