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Finding the Third Proportional to 17,633.25 and 27,320.63

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Solution

The third proportional to 17,633.25 and 27,320.63 is: 42,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.25 : 27,320.63 = 27,320.63 : x
  2. Step 2: Convert to fraction form
    17,633.25/27,320.63 = 27,320.63/x
  3. Step 3: Cross multiply
    17,633.25x = 27,320.63 × 27,320.63
  4. Step 4: Simplify right side
    17,633.25x = 746,416,550.39
  5. Step 5: Solve for x
    x = 746,416,550.39/17,633.25
  6. Step 6: Final answer
    x = 42,330.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.