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Finding the Third Proportional to 40,025 and 92,651

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Solution

The third proportional to 40,025 and 92,651 is: 214,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,025 : 92,651 = 92,651 : x
  2. Step 2: Convert to fraction form
    40,025/92,651 = 92,651/x
  3. Step 3: Cross multiply
    40,025x = 92,651 × 92,651
  4. Step 4: Simplify right side
    40,025x = 8,584,207,801
  5. Step 5: Solve for x
    x = 8,584,207,801/40,025
  6. Step 6: Final answer
    x = 214,471.15

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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.