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Finding the Third Proportional to 2,484.84 and 3,847.92

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Solution

The third proportional to 2,484.84 and 3,847.92 is: 5,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 3,847.92 = 3,847.92 : x
  2. Step 2: Convert to fraction form
    2,484.84/3,847.92 = 3,847.92/x
  3. Step 3: Cross multiply
    2,484.84x = 3,847.92 × 3,847.92
  4. Step 4: Simplify right side
    2,484.84x = 14,806,502.76
  5. Step 5: Solve for x
    x = 14,806,502.76/2,484.84
  6. Step 6: Final answer
    x = 5,958.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.