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Finding the Third Proportional to 20,582 and 31,161

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Solution

The third proportional to 20,582 and 31,161 is: 47,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582 : 31,161 = 31,161 : x
  2. Step 2: Convert to fraction form
    20,582/31,161 = 31,161/x
  3. Step 3: Cross multiply
    20,582x = 31,161 × 31,161
  4. Step 4: Simplify right side
    20,582x = 971,007,921
  5. Step 5: Solve for x
    x = 971,007,921/20,582
  6. Step 6: Final answer
    x = 47,177.53

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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.