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Finding the Third Proportional to 7,896.47 and 17,023.03

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Solution

The third proportional to 7,896.47 and 17,023.03 is: 36,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.47 : 17,023.03 = 17,023.03 : x
  2. Step 2: Convert to fraction form
    7,896.47/17,023.03 = 17,023.03/x
  3. Step 3: Cross multiply
    7,896.47x = 17,023.03 × 17,023.03
  4. Step 4: Simplify right side
    7,896.47x = 289,783,592.94
  5. Step 5: Solve for x
    x = 289,783,592.94/7,896.47
  6. Step 6: Final answer
    x = 36,697.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.