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Finding the Third Proportional to 9,612 and 14,135

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Solution

The third proportional to 9,612 and 14,135 is: 20,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 14,135 = 14,135 : x
  2. Step 2: Convert to fraction form
    9,612/14,135 = 14,135/x
  3. Step 3: Cross multiply
    9,612x = 14,135 × 14,135
  4. Step 4: Simplify right side
    9,612x = 199,798,225
  5. Step 5: Solve for x
    x = 199,798,225/9,612
  6. Step 6: Final answer
    x = 20,786.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.