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Finding the Third Proportional to 32,076 and 50,388

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Solution

The third proportional to 32,076 and 50,388 is: 79,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 50,388 = 50,388 : x
  2. Step 2: Convert to fraction form
    32,076/50,388 = 50,388/x
  3. Step 3: Cross multiply
    32,076x = 50,388 × 50,388
  4. Step 4: Simplify right side
    32,076x = 2,538,950,544
  5. Step 5: Solve for x
    x = 2,538,950,544/32,076
  6. Step 6: Final answer
    x = 79,154.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.