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Finding the Third Proportional to 20,429 and 31,022

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Solution

The third proportional to 20,429 and 31,022 is: 47,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,429 : 31,022 = 31,022 : x
  2. Step 2: Convert to fraction form
    20,429/31,022 = 31,022/x
  3. Step 3: Cross multiply
    20,429x = 31,022 × 31,022
  4. Step 4: Simplify right side
    20,429x = 962,364,484
  5. Step 5: Solve for x
    x = 962,364,484/20,429
  6. Step 6: Final answer
    x = 47,107.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.