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Finding the Third Proportional to 14,231.06 and 30,923.06

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Solution

The third proportional to 14,231.06 and 30,923.06 is: 67,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.06 : 30,923.06 = 30,923.06 : x
  2. Step 2: Convert to fraction form
    14,231.06/30,923.06 = 30,923.06/x
  3. Step 3: Cross multiply
    14,231.06x = 30,923.06 × 30,923.06
  4. Step 4: Simplify right side
    14,231.06x = 956,235,794.38
  5. Step 5: Solve for x
    x = 956,235,794.38/14,231.06
  6. Step 6: Final answer
    x = 67,193.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.