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Finding the Third Proportional to 5,194.13 and 7,968.38

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Solution

The third proportional to 5,194.13 and 7,968.38 is: 12,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 7,968.38 = 7,968.38 : x
  2. Step 2: Convert to fraction form
    5,194.13/7,968.38 = 7,968.38/x
  3. Step 3: Cross multiply
    5,194.13x = 7,968.38 × 7,968.38
  4. Step 4: Simplify right side
    5,194.13x = 63,495,000.14
  5. Step 5: Solve for x
    x = 63,495,000.14/5,194.13
  6. Step 6: Final answer
    x = 12,224.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.