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Finding the Third Proportional to 5,923.13 and 13,690.69

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Solution

The third proportional to 5,923.13 and 13,690.69 is: 31,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.13 : 13,690.69 = 13,690.69 : x
  2. Step 2: Convert to fraction form
    5,923.13/13,690.69 = 13,690.69/x
  3. Step 3: Cross multiply
    5,923.13x = 13,690.69 × 13,690.69
  4. Step 4: Simplify right side
    5,923.13x = 187,434,924.22
  5. Step 5: Solve for x
    x = 187,434,924.22/5,923.13
  6. Step 6: Final answer
    x = 31,644.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.