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Finding the Third Proportional to 2,419 and 3,705

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Solution

The third proportional to 2,419 and 3,705 is: 5,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 3,705 = 3,705 : x
  2. Step 2: Convert to fraction form
    2,419/3,705 = 3,705/x
  3. Step 3: Cross multiply
    2,419x = 3,705 × 3,705
  4. Step 4: Simplify right side
    2,419x = 13,727,025
  5. Step 5: Solve for x
    x = 13,727,025/2,419
  6. Step 6: Final answer
    x = 5,674.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.