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Finding the Third Proportional to 8,926 and 16,531

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Solution

The third proportional to 8,926 and 16,531 is: 30,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926 : 16,531 = 16,531 : x
  2. Step 2: Convert to fraction form
    8,926/16,531 = 16,531/x
  3. Step 3: Cross multiply
    8,926x = 16,531 × 16,531
  4. Step 4: Simplify right side
    8,926x = 273,273,961
  5. Step 5: Solve for x
    x = 273,273,961/8,926
  6. Step 6: Final answer
    x = 30,615.50

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.