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Finding the Third Proportional to 18,090.13 and 38,569.75

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Solution

The third proportional to 18,090.13 and 38,569.75 is: 82,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,090.13 : 38,569.75 = 38,569.75 : x
  2. Step 2: Convert to fraction form
    18,090.13/38,569.75 = 38,569.75/x
  3. Step 3: Cross multiply
    18,090.13x = 38,569.75 × 38,569.75
  4. Step 4: Simplify right side
    18,090.13x = 1,487,625,615.06
  5. Step 5: Solve for x
    x = 1,487,625,615.06/18,090.13
  6. Step 6: Final answer
    x = 82,234.13

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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.