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Finding the Third Proportional to 1,416 and 2,124

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Solution

The third proportional to 1,416 and 2,124 is: 3,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 2,124 = 2,124 : x
  2. Step 2: Convert to fraction form
    1,416/2,124 = 2,124/x
  3. Step 3: Cross multiply
    1,416x = 2,124 × 2,124
  4. Step 4: Simplify right side
    1,416x = 4,511,376
  5. Step 5: Solve for x
    x = 4,511,376/1,416
  6. Step 6: Final answer
    x = 3,186

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.