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Finding the Third Proportional to 17,716 and 36,584

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Solution

The third proportional to 17,716 and 36,584 is: 75,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716 : 36,584 = 36,584 : x
  2. Step 2: Convert to fraction form
    17,716/36,584 = 36,584/x
  3. Step 3: Cross multiply
    17,716x = 36,584 × 36,584
  4. Step 4: Simplify right side
    17,716x = 1,338,389,056
  5. Step 5: Solve for x
    x = 1,338,389,056/17,716
  6. Step 6: Final answer
    x = 75,546.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.