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Finding the Third Proportional to 19,573 and 30,331

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Solution

The third proportional to 19,573 and 30,331 is: 47,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,573 : 30,331 = 30,331 : x
  2. Step 2: Convert to fraction form
    19,573/30,331 = 30,331/x
  3. Step 3: Cross multiply
    19,573x = 30,331 × 30,331
  4. Step 4: Simplify right side
    19,573x = 919,969,561
  5. Step 5: Solve for x
    x = 919,969,561/19,573
  6. Step 6: Final answer
    x = 47,001.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.