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Finding the Third Proportional to 12,232 and 25,112

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Solution

The third proportional to 12,232 and 25,112 is: 51,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232 : 25,112 = 25,112 : x
  2. Step 2: Convert to fraction form
    12,232/25,112 = 25,112/x
  3. Step 3: Cross multiply
    12,232x = 25,112 × 25,112
  4. Step 4: Simplify right side
    12,232x = 630,612,544
  5. Step 5: Solve for x
    x = 630,612,544/12,232
  6. Step 6: Final answer
    x = 51,554.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.