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Finding the Third Proportional to 13,923.38 and 21,544.69

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Solution

The third proportional to 13,923.38 and 21,544.69 is: 33,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.38 : 21,544.69 = 21,544.69 : x
  2. Step 2: Convert to fraction form
    13,923.38/21,544.69 = 21,544.69/x
  3. Step 3: Cross multiply
    13,923.38x = 21,544.69 × 21,544.69
  4. Step 4: Simplify right side
    13,923.38x = 464,173,559.47
  5. Step 5: Solve for x
    x = 464,173,559.47/13,923.38
  6. Step 6: Final answer
    x = 33,337.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.