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Finding the Third Proportional to 8,491.50 and 18,284.63

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Solution

The third proportional to 8,491.50 and 18,284.63 is: 39,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.50 : 18,284.63 = 18,284.63 : x
  2. Step 2: Convert to fraction form
    8,491.50/18,284.63 = 18,284.63/x
  3. Step 3: Cross multiply
    8,491.50x = 18,284.63 × 18,284.63
  4. Step 4: Simplify right side
    8,491.50x = 334,327,511.39
  5. Step 5: Solve for x
    x = 334,327,511.39/8,491.50
  6. Step 6: Final answer
    x = 39,372.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.