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Finding the Third Proportional to 20,852 and 31,458

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Solution

The third proportional to 20,852 and 31,458 is: 47,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852 : 31,458 = 31,458 : x
  2. Step 2: Convert to fraction form
    20,852/31,458 = 31,458/x
  3. Step 3: Cross multiply
    20,852x = 31,458 × 31,458
  4. Step 4: Simplify right side
    20,852x = 989,605,764
  5. Step 5: Solve for x
    x = 989,605,764/20,852
  6. Step 6: Final answer
    x = 47,458.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.