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Finding the Third Proportional to 39,010 and 92,032

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Solution

The third proportional to 39,010 and 92,032 is: 217,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,010 : 92,032 = 92,032 : x
  2. Step 2: Convert to fraction form
    39,010/92,032 = 92,032/x
  3. Step 3: Cross multiply
    39,010x = 92,032 × 92,032
  4. Step 4: Simplify right side
    39,010x = 8,469,889,024
  5. Step 5: Solve for x
    x = 8,469,889,024/39,010
  6. Step 6: Final answer
    x = 217,120.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.