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Finding the Third Proportional to 20,122 and 31,829

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Solution

The third proportional to 20,122 and 31,829 is: 50,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 31,829 = 31,829 : x
  2. Step 2: Convert to fraction form
    20,122/31,829 = 31,829/x
  3. Step 3: Cross multiply
    20,122x = 31,829 × 31,829
  4. Step 4: Simplify right side
    20,122x = 1,013,085,241
  5. Step 5: Solve for x
    x = 1,013,085,241/20,122
  6. Step 6: Final answer
    x = 50,347.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.