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Finding the Third Proportional to 17,539.31 and 37,884.38

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Solution

The third proportional to 17,539.31 and 37,884.38 is: 81,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.31 : 37,884.38 = 37,884.38 : x
  2. Step 2: Convert to fraction form
    17,539.31/37,884.38 = 37,884.38/x
  3. Step 3: Cross multiply
    17,539.31x = 37,884.38 × 37,884.38
  4. Step 4: Simplify right side
    17,539.31x = 1,435,225,869.14
  5. Step 5: Solve for x
    x = 1,435,225,869.14/17,539.31
  6. Step 6: Final answer
    x = 81,829.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.