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Finding the Third Proportional to 37,415.25 and 62,354.25

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Solution

The third proportional to 37,415.25 and 62,354.25 is: 103,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,415.25 : 62,354.25 = 62,354.25 : x
  2. Step 2: Convert to fraction form
    37,415.25/62,354.25 = 62,354.25/x
  3. Step 3: Cross multiply
    37,415.25x = 62,354.25 × 62,354.25
  4. Step 4: Simplify right side
    37,415.25x = 3,888,052,493.06
  5. Step 5: Solve for x
    x = 3,888,052,493.06/37,415.25
  6. Step 6: Final answer
    x = 103,916.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.