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Finding the Third Proportional to 20,583 and 31,775

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Solution

The third proportional to 20,583 and 31,775 is: 49,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583 : 31,775 = 31,775 : x
  2. Step 2: Convert to fraction form
    20,583/31,775 = 31,775/x
  3. Step 3: Cross multiply
    20,583x = 31,775 × 31,775
  4. Step 4: Simplify right side
    20,583x = 1,009,650,625
  5. Step 5: Solve for x
    x = 1,009,650,625/20,583
  6. Step 6: Final answer
    x = 49,052.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.