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Finding the Third Proportional to 6,306 and 13,130

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Solution

The third proportional to 6,306 and 13,130 is: 27,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306 : 13,130 = 13,130 : x
  2. Step 2: Convert to fraction form
    6,306/13,130 = 13,130/x
  3. Step 3: Cross multiply
    6,306x = 13,130 × 13,130
  4. Step 4: Simplify right side
    6,306x = 172,396,900
  5. Step 5: Solve for x
    x = 172,396,900/6,306
  6. Step 6: Final answer
    x = 27,338.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.