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Finding the Third Proportional to 10,172.25 and 14,316.75

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Solution

The third proportional to 10,172.25 and 14,316.75 is: 20,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.25 : 14,316.75 = 14,316.75 : x
  2. Step 2: Convert to fraction form
    10,172.25/14,316.75 = 14,316.75/x
  3. Step 3: Cross multiply
    10,172.25x = 14,316.75 × 14,316.75
  4. Step 4: Simplify right side
    10,172.25x = 204,969,330.56
  5. Step 5: Solve for x
    x = 204,969,330.56/10,172.25
  6. Step 6: Final answer
    x = 20,149.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.