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Finding the Third Proportional to 12,923.38 and 17,796.07

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Solution

The third proportional to 12,923.38 and 17,796.07 is: 24,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.38 : 17,796.07 = 17,796.07 : x
  2. Step 2: Convert to fraction form
    12,923.38/17,796.07 = 17,796.07/x
  3. Step 3: Cross multiply
    12,923.38x = 17,796.07 × 17,796.07
  4. Step 4: Simplify right side
    12,923.38x = 316,700,170.70
  5. Step 5: Solve for x
    x = 316,700,170.70/12,923.38
  6. Step 6: Final answer
    x = 24,505.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.