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Finding the Third Proportional to 20,584 and 31,165

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Solution

The third proportional to 20,584 and 31,165 is: 47,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 31,165 = 31,165 : x
  2. Step 2: Convert to fraction form
    20,584/31,165 = 31,165/x
  3. Step 3: Cross multiply
    20,584x = 31,165 × 31,165
  4. Step 4: Simplify right side
    20,584x = 971,257,225
  5. Step 5: Solve for x
    x = 971,257,225/20,584
  6. Step 6: Final answer
    x = 47,185.06

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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.