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Finding the Third Proportional to 20,870 and 31,299

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Solution

The third proportional to 20,870 and 31,299 is: 46,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870 : 31,299 = 31,299 : x
  2. Step 2: Convert to fraction form
    20,870/31,299 = 31,299/x
  3. Step 3: Cross multiply
    20,870x = 31,299 × 31,299
  4. Step 4: Simplify right side
    20,870x = 979,627,401
  5. Step 5: Solve for x
    x = 979,627,401/20,870
  6. Step 6: Final answer
    x = 46,939.50

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Why These Related Problems?

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