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Finding the Third Proportional to 40,035 and 92,671

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Solution

The third proportional to 40,035 and 92,671 is: 214,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,035 : 92,671 = 92,671 : x
  2. Step 2: Convert to fraction form
    40,035/92,671 = 92,671/x
  3. Step 3: Cross multiply
    40,035x = 92,671 × 92,671
  4. Step 4: Simplify right side
    40,035x = 8,587,914,241
  5. Step 5: Solve for x
    x = 8,587,914,241/40,035
  6. Step 6: Final answer
    x = 214,510.16

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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.