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Finding the Third Proportional to 17,881.59 and 38,074.22

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Solution

The third proportional to 17,881.59 and 38,074.22 is: 81,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.59 : 38,074.22 = 38,074.22 : x
  2. Step 2: Convert to fraction form
    17,881.59/38,074.22 = 38,074.22/x
  3. Step 3: Cross multiply
    17,881.59x = 38,074.22 × 38,074.22
  4. Step 4: Simplify right side
    17,881.59x = 1,449,646,133.42
  5. Step 5: Solve for x
    x = 1,449,646,133.42/17,881.59
  6. Step 6: Final answer
    x = 81,069.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.