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Finding the Third Proportional to 30,839.44 and 64,102.88

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Solution

The third proportional to 30,839.44 and 64,102.88 is: 133,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.44 : 64,102.88 = 64,102.88 : x
  2. Step 2: Convert to fraction form
    30,839.44/64,102.88 = 64,102.88/x
  3. Step 3: Cross multiply
    30,839.44x = 64,102.88 × 64,102.88
  4. Step 4: Simplify right side
    30,839.44x = 4,109,178,583.27
  5. Step 5: Solve for x
    x = 4,109,178,583.27/30,839.44
  6. Step 6: Final answer
    x = 133,244.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.