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Finding the Third Proportional to 8,536 and 18,584

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Solution

The third proportional to 8,536 and 18,584 is: 40,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536 : 18,584 = 18,584 : x
  2. Step 2: Convert to fraction form
    8,536/18,584 = 18,584/x
  3. Step 3: Cross multiply
    8,536x = 18,584 × 18,584
  4. Step 4: Simplify right side
    8,536x = 345,365,056
  5. Step 5: Solve for x
    x = 345,365,056/8,536
  6. Step 6: Final answer
    x = 40,459.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.