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Finding the Third Proportional to 5,305.50 and 6,186.38

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Solution

The third proportional to 5,305.50 and 6,186.38 is: 7,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.50 : 6,186.38 = 6,186.38 : x
  2. Step 2: Convert to fraction form
    5,305.50/6,186.38 = 6,186.38/x
  3. Step 3: Cross multiply
    5,305.50x = 6,186.38 × 6,186.38
  4. Step 4: Simplify right side
    5,305.50x = 38,271,235.64
  5. Step 5: Solve for x
    x = 38,271,235.64/5,305.50
  6. Step 6: Final answer
    x = 7,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.