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Finding the Third Proportional to 6,328.13 and 13,894.03

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Solution

The third proportional to 6,328.13 and 13,894.03 is: 30,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.13 : 13,894.03 = 13,894.03 : x
  2. Step 2: Convert to fraction form
    6,328.13/13,894.03 = 13,894.03/x
  3. Step 3: Cross multiply
    6,328.13x = 13,894.03 × 13,894.03
  4. Step 4: Simplify right side
    6,328.13x = 193,044,104.38
  5. Step 5: Solve for x
    x = 193,044,104.38/6,328.13
  6. Step 6: Final answer
    x = 30,505.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.