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Finding the Third Proportional to 30,171 and 63,692

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Solution

The third proportional to 30,171 and 63,692 is: 134,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171 : 63,692 = 63,692 : x
  2. Step 2: Convert to fraction form
    30,171/63,692 = 63,692/x
  3. Step 3: Cross multiply
    30,171x = 63,692 × 63,692
  4. Step 4: Simplify right side
    30,171x = 4,056,670,864
  5. Step 5: Solve for x
    x = 4,056,670,864/30,171
  6. Step 6: Final answer
    x = 134,455.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.