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Finding the Third Proportional to 37,303 and 57,761

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Solution

The third proportional to 37,303 and 57,761 is: 89,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,303 : 57,761 = 57,761 : x
  2. Step 2: Convert to fraction form
    37,303/57,761 = 57,761/x
  3. Step 3: Cross multiply
    37,303x = 57,761 × 57,761
  4. Step 4: Simplify right side
    37,303x = 3,336,333,121
  5. Step 5: Solve for x
    x = 3,336,333,121/37,303
  6. Step 6: Final answer
    x = 89,438.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.