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Finding the Third Proportional to 13,928 and 32,900

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Solution

The third proportional to 13,928 and 32,900 is: 77,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928 : 32,900 = 32,900 : x
  2. Step 2: Convert to fraction form
    13,928/32,900 = 32,900/x
  3. Step 3: Cross multiply
    13,928x = 32,900 × 32,900
  4. Step 4: Simplify right side
    13,928x = 1,082,410,000
  5. Step 5: Solve for x
    x = 1,082,410,000/13,928
  6. Step 6: Final answer
    x = 77,714.68

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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.