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Finding the Third Proportional to 37,276 and 54,858

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Solution

The third proportional to 37,276 and 54,858 is: 80,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,276 : 54,858 = 54,858 : x
  2. Step 2: Convert to fraction form
    37,276/54,858 = 54,858/x
  3. Step 3: Cross multiply
    37,276x = 54,858 × 54,858
  4. Step 4: Simplify right side
    37,276x = 3,009,400,164
  5. Step 5: Solve for x
    x = 3,009,400,164/37,276
  6. Step 6: Final answer
    x = 80,732.92

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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.