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Finding the Third Proportional to 17,533.13 and 23,954.06

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Solution

The third proportional to 17,533.13 and 23,954.06 is: 32,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.13 : 23,954.06 = 23,954.06 : x
  2. Step 2: Convert to fraction form
    17,533.13/23,954.06 = 23,954.06/x
  3. Step 3: Cross multiply
    17,533.13x = 23,954.06 × 23,954.06
  4. Step 4: Simplify right side
    17,533.13x = 573,797,110.25
  5. Step 5: Solve for x
    x = 573,797,110.25/17,533.13
  6. Step 6: Final answer
    x = 32,726.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.