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Finding the Third Proportional to 14,053.50 and 21,944.25

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Solution

The third proportional to 14,053.50 and 21,944.25 is: 34,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.50 : 21,944.25 = 21,944.25 : x
  2. Step 2: Convert to fraction form
    14,053.50/21,944.25 = 21,944.25/x
  3. Step 3: Cross multiply
    14,053.50x = 21,944.25 × 21,944.25
  4. Step 4: Simplify right side
    14,053.50x = 481,550,108.06
  5. Step 5: Solve for x
    x = 481,550,108.06/14,053.50
  6. Step 6: Final answer
    x = 34,265.49

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