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Finding the Third Proportional to 31,724 and 47,504

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Solution

The third proportional to 31,724 and 47,504 is: 71,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,724 : 47,504 = 47,504 : x
  2. Step 2: Convert to fraction form
    31,724/47,504 = 47,504/x
  3. Step 3: Cross multiply
    31,724x = 47,504 × 47,504
  4. Step 4: Simplify right side
    31,724x = 2,256,630,016
  5. Step 5: Solve for x
    x = 2,256,630,016/31,724
  6. Step 6: Final answer
    x = 71,133.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.