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Finding the Third Proportional to 17,347.25 and 37,154

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Solution

The third proportional to 17,347.25 and 37,154 is: 79,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,347.25 : 37,154 = 37,154 : x
  2. Step 2: Convert to fraction form
    17,347.25/37,154 = 37,154/x
  3. Step 3: Cross multiply
    17,347.25x = 37,154 × 37,154
  4. Step 4: Simplify right side
    17,347.25x = 1,380,419,716
  5. Step 5: Solve for x
    x = 1,380,419,716/17,347.25
  6. Step 6: Final answer
    x = 79,575.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.