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Finding the Third Proportional to 6,013 and 8,513

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Solution

The third proportional to 6,013 and 8,513 is: 12,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013 : 8,513 = 8,513 : x
  2. Step 2: Convert to fraction form
    6,013/8,513 = 8,513/x
  3. Step 3: Cross multiply
    6,013x = 8,513 × 8,513
  4. Step 4: Simplify right side
    6,013x = 72,471,169
  5. Step 5: Solve for x
    x = 72,471,169/6,013
  6. Step 6: Final answer
    x = 12,052.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.