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Finding the Third Proportional to 37,200 and 55,797

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Solution

The third proportional to 37,200 and 55,797 is: 83,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200 : 55,797 = 55,797 : x
  2. Step 2: Convert to fraction form
    37,200/55,797 = 55,797/x
  3. Step 3: Cross multiply
    37,200x = 55,797 × 55,797
  4. Step 4: Simplify right side
    37,200x = 3,113,305,209
  5. Step 5: Solve for x
    x = 3,113,305,209/37,200
  6. Step 6: Final answer
    x = 83,691.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.