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Finding the Third Proportional to 7,170.78 and 10,080.21

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Solution

The third proportional to 7,170.78 and 10,080.21 is: 14,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.78 : 10,080.21 = 10,080.21 : x
  2. Step 2: Convert to fraction form
    7,170.78/10,080.21 = 10,080.21/x
  3. Step 3: Cross multiply
    7,170.78x = 10,080.21 × 10,080.21
  4. Step 4: Simplify right side
    7,170.78x = 101,610,593.48
  5. Step 5: Solve for x
    x = 101,610,593.48/7,170.78
  6. Step 6: Final answer
    x = 14,170.09

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