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Finding the Third Proportional to 12,632 and 16,716

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Solution

The third proportional to 12,632 and 16,716 is: 22,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632 : 16,716 = 16,716 : x
  2. Step 2: Convert to fraction form
    12,632/16,716 = 16,716/x
  3. Step 3: Cross multiply
    12,632x = 16,716 × 16,716
  4. Step 4: Simplify right side
    12,632x = 279,424,656
  5. Step 5: Solve for x
    x = 279,424,656/12,632
  6. Step 6: Final answer
    x = 22,120.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.