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Finding the Third Proportional to 20,437 and 30,835

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Solution

The third proportional to 20,437 and 30,835 is: 46,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437 : 30,835 = 30,835 : x
  2. Step 2: Convert to fraction form
    20,437/30,835 = 30,835/x
  3. Step 3: Cross multiply
    20,437x = 30,835 × 30,835
  4. Step 4: Simplify right side
    20,437x = 950,797,225
  5. Step 5: Solve for x
    x = 950,797,225/20,437
  6. Step 6: Final answer
    x = 46,523.33

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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.