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Finding the Third Proportional to 20,250 and 31,521

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Solution

The third proportional to 20,250 and 31,521 is: 49,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250 : 31,521 = 31,521 : x
  2. Step 2: Convert to fraction form
    20,250/31,521 = 31,521/x
  3. Step 3: Cross multiply
    20,250x = 31,521 × 31,521
  4. Step 4: Simplify right side
    20,250x = 993,573,441
  5. Step 5: Solve for x
    x = 993,573,441/20,250
  6. Step 6: Final answer
    x = 49,065.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.