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Finding the Third Proportional to 8,584 and 19,846

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Solution

The third proportional to 8,584 and 19,846 is: 45,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584 : 19,846 = 19,846 : x
  2. Step 2: Convert to fraction form
    8,584/19,846 = 19,846/x
  3. Step 3: Cross multiply
    8,584x = 19,846 × 19,846
  4. Step 4: Simplify right side
    8,584x = 393,863,716
  5. Step 5: Solve for x
    x = 393,863,716/8,584
  6. Step 6: Final answer
    x = 45,883.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.