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Finding the Third Proportional to 10,706 and 14,205

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Solution

The third proportional to 10,706 and 14,205 is: 18,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706 : 14,205 = 14,205 : x
  2. Step 2: Convert to fraction form
    10,706/14,205 = 14,205/x
  3. Step 3: Cross multiply
    10,706x = 14,205 × 14,205
  4. Step 4: Simplify right side
    10,706x = 201,782,025
  5. Step 5: Solve for x
    x = 201,782,025/10,706
  6. Step 6: Final answer
    x = 18,847.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.