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Finding the Third Proportional to 12,771 and 16,561.13

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Solution

The third proportional to 12,771 and 16,561.13 is: 21,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 16,561.13 = 16,561.13 : x
  2. Step 2: Convert to fraction form
    12,771/16,561.13 = 16,561.13/x
  3. Step 3: Cross multiply
    12,771x = 16,561.13 × 16,561.13
  4. Step 4: Simplify right side
    12,771x = 274,270,861.27
  5. Step 5: Solve for x
    x = 274,270,861.27/12,771
  6. Step 6: Final answer
    x = 21,476.07

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.