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Finding the Third Proportional to 37,582 and 55,285

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Solution

The third proportional to 37,582 and 55,285 is: 81,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,582 : 55,285 = 55,285 : x
  2. Step 2: Convert to fraction form
    37,582/55,285 = 55,285/x
  3. Step 3: Cross multiply
    37,582x = 55,285 × 55,285
  4. Step 4: Simplify right side
    37,582x = 3,056,431,225
  5. Step 5: Solve for x
    x = 3,056,431,225/37,582
  6. Step 6: Final answer
    x = 81,327.00

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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.