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Finding the Third Proportional to 11,172 and 16,295.25

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Solution

The third proportional to 11,172 and 16,295.25 is: 23,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172 : 16,295.25 = 16,295.25 : x
  2. Step 2: Convert to fraction form
    11,172/16,295.25 = 16,295.25/x
  3. Step 3: Cross multiply
    11,172x = 16,295.25 × 16,295.25
  4. Step 4: Simplify right side
    11,172x = 265,535,172.56
  5. Step 5: Solve for x
    x = 265,535,172.56/11,172
  6. Step 6: Final answer
    x = 23,767.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.