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Finding the Third Proportional to 13,881.94 and 21,471.19

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Solution

The third proportional to 13,881.94 and 21,471.19 is: 33,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.94 : 21,471.19 = 21,471.19 : x
  2. Step 2: Convert to fraction form
    13,881.94/21,471.19 = 21,471.19/x
  3. Step 3: Cross multiply
    13,881.94x = 21,471.19 × 21,471.19
  4. Step 4: Simplify right side
    13,881.94x = 461,011,892.66
  5. Step 5: Solve for x
    x = 461,011,892.66/13,881.94
  6. Step 6: Final answer
    x = 33,209.48

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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.