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Finding the Third Proportional to 31,401 and 66,438

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Solution

The third proportional to 31,401 and 66,438 is: 140,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401 : 66,438 = 66,438 : x
  2. Step 2: Convert to fraction form
    31,401/66,438 = 66,438/x
  3. Step 3: Cross multiply
    31,401x = 66,438 × 66,438
  4. Step 4: Simplify right side
    31,401x = 4,414,007,844
  5. Step 5: Solve for x
    x = 4,414,007,844/31,401
  6. Step 6: Final answer
    x = 140,569.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.