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Finding the Third Proportional to 38,808 and 56,692

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Solution

The third proportional to 38,808 and 56,692 is: 82,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,808 : 56,692 = 56,692 : x
  2. Step 2: Convert to fraction form
    38,808/56,692 = 56,692/x
  3. Step 3: Cross multiply
    38,808x = 56,692 × 56,692
  4. Step 4: Simplify right side
    38,808x = 3,213,982,864
  5. Step 5: Solve for x
    x = 3,213,982,864/38,808
  6. Step 6: Final answer
    x = 82,817.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.