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Finding the Third Proportional to 13,997.39 and 21,673.83

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Solution

The third proportional to 13,997.39 and 21,673.83 is: 33,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.39 : 21,673.83 = 21,673.83 : x
  2. Step 2: Convert to fraction form
    13,997.39/21,673.83 = 21,673.83/x
  3. Step 3: Cross multiply
    13,997.39x = 21,673.83 × 21,673.83
  4. Step 4: Simplify right side
    13,997.39x = 469,754,825.59
  5. Step 5: Solve for x
    x = 469,754,825.59/13,997.39
  6. Step 6: Final answer
    x = 33,560.17

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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.