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Finding the Third Proportional to 10,167 and 14,284.50

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Solution

The third proportional to 10,167 and 14,284.50 is: 20,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167 : 14,284.50 = 14,284.50 : x
  2. Step 2: Convert to fraction form
    10,167/14,284.50 = 14,284.50/x
  3. Step 3: Cross multiply
    10,167x = 14,284.50 × 14,284.50
  4. Step 4: Simplify right side
    10,167x = 204,046,940.25
  5. Step 5: Solve for x
    x = 204,046,940.25/10,167
  6. Step 6: Final answer
    x = 20,069.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.