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Finding the Third Proportional to 37,968.75 and 57,636

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Solution

The third proportional to 37,968.75 and 57,636 is: 87,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,968.75 : 57,636 = 57,636 : x
  2. Step 2: Convert to fraction form
    37,968.75/57,636 = 57,636/x
  3. Step 3: Cross multiply
    37,968.75x = 57,636 × 57,636
  4. Step 4: Simplify right side
    37,968.75x = 3,321,908,496
  5. Step 5: Solve for x
    x = 3,321,908,496/37,968.75
  6. Step 6: Final answer
    x = 87,490.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.