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Finding the Third Proportional to 12,416 and 19,176

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Solution

The third proportional to 12,416 and 19,176 is: 29,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 19,176 = 19,176 : x
  2. Step 2: Convert to fraction form
    12,416/19,176 = 19,176/x
  3. Step 3: Cross multiply
    12,416x = 19,176 × 19,176
  4. Step 4: Simplify right side
    12,416x = 367,718,976
  5. Step 5: Solve for x
    x = 367,718,976/12,416
  6. Step 6: Final answer
    x = 29,616.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.