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Finding the Third Proportional to 12,178 and 24,932

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Solution

The third proportional to 12,178 and 24,932 is: 51,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178 : 24,932 = 24,932 : x
  2. Step 2: Convert to fraction form
    12,178/24,932 = 24,932/x
  3. Step 3: Cross multiply
    12,178x = 24,932 × 24,932
  4. Step 4: Simplify right side
    12,178x = 621,604,624
  5. Step 5: Solve for x
    x = 621,604,624/12,178
  6. Step 6: Final answer
    x = 51,043.24

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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.