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Finding the Third Proportional to 37,576.50 and 58,264.50

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Solution

The third proportional to 37,576.50 and 58,264.50 is: 90,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,576.50 : 58,264.50 = 58,264.50 : x
  2. Step 2: Convert to fraction form
    37,576.50/58,264.50 = 58,264.50/x
  3. Step 3: Cross multiply
    37,576.50x = 58,264.50 × 58,264.50
  4. Step 4: Simplify right side
    37,576.50x = 3,394,751,960.25
  5. Step 5: Solve for x
    x = 3,394,751,960.25/37,576.50
  6. Step 6: Final answer
    x = 90,342.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.