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Finding the Third Proportional to 10,167 and 18,646.50

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Solution

The third proportional to 10,167 and 18,646.50 is: 34,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167 : 18,646.50 = 18,646.50 : x
  2. Step 2: Convert to fraction form
    10,167/18,646.50 = 18,646.50/x
  3. Step 3: Cross multiply
    10,167x = 18,646.50 × 18,646.50
  4. Step 4: Simplify right side
    10,167x = 347,691,962.25
  5. Step 5: Solve for x
    x = 347,691,962.25/10,167
  6. Step 6: Final answer
    x = 34,198.09

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.