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Finding the Third Proportional to 20,310 and 31,833

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Solution

The third proportional to 20,310 and 31,833 is: 49,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310 : 31,833 = 31,833 : x
  2. Step 2: Convert to fraction form
    20,310/31,833 = 31,833/x
  3. Step 3: Cross multiply
    20,310x = 31,833 × 31,833
  4. Step 4: Simplify right side
    20,310x = 1,013,339,889
  5. Step 5: Solve for x
    x = 1,013,339,889/20,310
  6. Step 6: Final answer
    x = 49,893.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.