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Finding the Third Proportional to 37,289.25 and 55,204.88

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Solution

The third proportional to 37,289.25 and 55,204.88 is: 81,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,289.25 : 55,204.88 = 55,204.88 : x
  2. Step 2: Convert to fraction form
    37,289.25/55,204.88 = 55,204.88/x
  3. Step 3: Cross multiply
    37,289.25x = 55,204.88 × 55,204.88
  4. Step 4: Simplify right side
    37,289.25x = 3,047,578,223.77
  5. Step 5: Solve for x
    x = 3,047,578,223.77/37,289.25
  6. Step 6: Final answer
    x = 81,728.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.