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Finding the Third Proportional to 2,536 and 6,013

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Solution

The third proportional to 2,536 and 6,013 is: 14,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536 : 6,013 = 6,013 : x
  2. Step 2: Convert to fraction form
    2,536/6,013 = 6,013/x
  3. Step 3: Cross multiply
    2,536x = 6,013 × 6,013
  4. Step 4: Simplify right side
    2,536x = 36,156,169
  5. Step 5: Solve for x
    x = 36,156,169/2,536
  6. Step 6: Final answer
    x = 14,257.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.