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Finding the Third Proportional to 47,344.50 and 109,431

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Solution

The third proportional to 47,344.50 and 109,431 is: 252,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.50 : 109,431 = 109,431 : x
  2. Step 2: Convert to fraction form
    47,344.50/109,431 = 109,431/x
  3. Step 3: Cross multiply
    47,344.50x = 109,431 × 109,431
  4. Step 4: Simplify right side
    47,344.50x = 11,975,143,761
  5. Step 5: Solve for x
    x = 11,975,143,761/47,344.50
  6. Step 6: Final answer
    x = 252,936.32

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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.