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Finding the Third Proportional to 6,013 and 12,707

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Solution

The third proportional to 6,013 and 12,707 is: 26,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013 : 12,707 = 12,707 : x
  2. Step 2: Convert to fraction form
    6,013/12,707 = 12,707/x
  3. Step 3: Cross multiply
    6,013x = 12,707 × 12,707
  4. Step 4: Simplify right side
    6,013x = 161,467,849
  5. Step 5: Solve for x
    x = 161,467,849/6,013
  6. Step 6: Final answer
    x = 26,853.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.