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Finding the Third Proportional to 15,114 and 22,467.75

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Solution

The third proportional to 15,114 and 22,467.75 is: 33,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 22,467.75 = 22,467.75 : x
  2. Step 2: Convert to fraction form
    15,114/22,467.75 = 22,467.75/x
  3. Step 3: Cross multiply
    15,114x = 22,467.75 × 22,467.75
  4. Step 4: Simplify right side
    15,114x = 504,799,790.06
  5. Step 5: Solve for x
    x = 504,799,790.06/15,114
  6. Step 6: Final answer
    x = 33,399.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.