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Finding the Third Proportional to 13,764.94 and 21,480.19

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Solution

The third proportional to 13,764.94 and 21,480.19 is: 33,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.94 : 21,480.19 = 21,480.19 : x
  2. Step 2: Convert to fraction form
    13,764.94/21,480.19 = 21,480.19/x
  3. Step 3: Cross multiply
    13,764.94x = 21,480.19 × 21,480.19
  4. Step 4: Simplify right side
    13,764.94x = 461,398,455.04
  5. Step 5: Solve for x
    x = 461,398,455.04/13,764.94
  6. Step 6: Final answer
    x = 33,519.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.