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Finding the Third Proportional to 32,978 and 77,771

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Solution

The third proportional to 32,978 and 77,771 is: 183,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978 : 77,771 = 77,771 : x
  2. Step 2: Convert to fraction form
    32,978/77,771 = 77,771/x
  3. Step 3: Cross multiply
    32,978x = 77,771 × 77,771
  4. Step 4: Simplify right side
    32,978x = 6,048,328,441
  5. Step 5: Solve for x
    x = 6,048,328,441/32,978
  6. Step 6: Final answer
    x = 183,404.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.