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Finding the Third Proportional to 9,614 and 20,858

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Solution

The third proportional to 9,614 and 20,858 is: 45,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 20,858 = 20,858 : x
  2. Step 2: Convert to fraction form
    9,614/20,858 = 20,858/x
  3. Step 3: Cross multiply
    9,614x = 20,858 × 20,858
  4. Step 4: Simplify right side
    9,614x = 435,056,164
  5. Step 5: Solve for x
    x = 435,056,164/9,614
  6. Step 6: Final answer
    x = 45,252.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.