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Finding the Third Proportional to 5,706 and 10,305

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Solution

The third proportional to 5,706 and 10,305 is: 18,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 10,305 = 10,305 : x
  2. Step 2: Convert to fraction form
    5,706/10,305 = 10,305/x
  3. Step 3: Cross multiply
    5,706x = 10,305 × 10,305
  4. Step 4: Simplify right side
    5,706x = 106,193,025
  5. Step 5: Solve for x
    x = 106,193,025/5,706
  6. Step 6: Final answer
    x = 18,610.76

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.