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Finding the Third Proportional to 6,960.38 and 16,421.63

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Solution

The third proportional to 6,960.38 and 16,421.63 is: 38,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.38 : 16,421.63 = 16,421.63 : x
  2. Step 2: Convert to fraction form
    6,960.38/16,421.63 = 16,421.63/x
  3. Step 3: Cross multiply
    6,960.38x = 16,421.63 × 16,421.63
  4. Step 4: Simplify right side
    6,960.38x = 269,669,767.64
  5. Step 5: Solve for x
    x = 269,669,767.64/6,960.38
  6. Step 6: Final answer
    x = 38,743.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.