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Finding the Third Proportional to 7,902.14 and 17,996.77

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Solution

The third proportional to 7,902.14 and 17,996.77 is: 40,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.14 : 17,996.77 = 17,996.77 : x
  2. Step 2: Convert to fraction form
    7,902.14/17,996.77 = 17,996.77/x
  3. Step 3: Cross multiply
    7,902.14x = 17,996.77 × 17,996.77
  4. Step 4: Simplify right side
    7,902.14x = 323,883,572.96
  5. Step 5: Solve for x
    x = 323,883,572.96/7,902.14
  6. Step 6: Final answer
    x = 40,986.81

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.