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Finding the Third Proportional to 40,017 and 92,631

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Solution

The third proportional to 40,017 and 92,631 is: 214,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,017 : 92,631 = 92,631 : x
  2. Step 2: Convert to fraction form
    40,017/92,631 = 92,631/x
  3. Step 3: Cross multiply
    40,017x = 92,631 × 92,631
  4. Step 4: Simplify right side
    40,017x = 8,580,502,161
  5. Step 5: Solve for x
    x = 8,580,502,161/40,017
  6. Step 6: Final answer
    x = 214,421.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.