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Finding the Third Proportional to 12,176 and 24,928

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Solution

The third proportional to 12,176 and 24,928 is: 51,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176 : 24,928 = 24,928 : x
  2. Step 2: Convert to fraction form
    12,176/24,928 = 24,928/x
  3. Step 3: Cross multiply
    12,176x = 24,928 × 24,928
  4. Step 4: Simplify right side
    12,176x = 621,405,184
  5. Step 5: Solve for x
    x = 621,405,184/12,176
  6. Step 6: Final answer
    x = 51,035.25

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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.