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Finding the Third Proportional to 17,965.25 and 37,792.63

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Solution

The third proportional to 17,965.25 and 37,792.63 is: 79,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.25 : 37,792.63 = 37,792.63 : x
  2. Step 2: Convert to fraction form
    17,965.25/37,792.63 = 37,792.63/x
  3. Step 3: Cross multiply
    17,965.25x = 37,792.63 × 37,792.63
  4. Step 4: Simplify right side
    17,965.25x = 1,428,282,504.39
  5. Step 5: Solve for x
    x = 1,428,282,504.39/17,965.25
  6. Step 6: Final answer
    x = 79,502.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.