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Finding the Third Proportional to 37,669.50 and 55,370.25

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Solution

The third proportional to 37,669.50 and 55,370.25 is: 81,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669.50 : 55,370.25 = 55,370.25 : x
  2. Step 2: Convert to fraction form
    37,669.50/55,370.25 = 55,370.25/x
  3. Step 3: Cross multiply
    37,669.50x = 55,370.25 × 55,370.25
  4. Step 4: Simplify right side
    37,669.50x = 3,065,864,585.06
  5. Step 5: Solve for x
    x = 3,065,864,585.06/37,669.50
  6. Step 6: Final answer
    x = 81,388.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.