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Finding the Third Proportional to 7,170.96 and 10,080.42

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Solution

The third proportional to 7,170.96 and 10,080.42 is: 14,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.96 : 10,080.42 = 10,080.42 : x
  2. Step 2: Convert to fraction form
    7,170.96/10,080.42 = 10,080.42/x
  3. Step 3: Cross multiply
    7,170.96x = 10,080.42 × 10,080.42
  4. Step 4: Simplify right side
    7,170.96x = 101,614,905.18
  5. Step 5: Solve for x
    x = 101,614,905.18/7,170.96
  6. Step 6: Final answer
    x = 14,170.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.