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Finding the Third Proportional to 40,084 and 92,798

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Solution

The third proportional to 40,084 and 92,798 is: 214,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084 : 92,798 = 92,798 : x
  2. Step 2: Convert to fraction form
    40,084/92,798 = 92,798/x
  3. Step 3: Cross multiply
    40,084x = 92,798 × 92,798
  4. Step 4: Simplify right side
    40,084x = 8,611,468,804
  5. Step 5: Solve for x
    x = 8,611,468,804/40,084
  6. Step 6: Final answer
    x = 214,835.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.