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Finding the Third Proportional to 9,715 and 16,821

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Solution

The third proportional to 9,715 and 16,821 is: 29,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715 : 16,821 = 16,821 : x
  2. Step 2: Convert to fraction form
    9,715/16,821 = 16,821/x
  3. Step 3: Cross multiply
    9,715x = 16,821 × 16,821
  4. Step 4: Simplify right side
    9,715x = 282,946,041
  5. Step 5: Solve for x
    x = 282,946,041/9,715
  6. Step 6: Final answer
    x = 29,124.66

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.