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Finding the Third Proportional to 2,700.84 and 3,956.34

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Solution

The third proportional to 2,700.84 and 3,956.34 is: 5,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.84 : 3,956.34 = 3,956.34 : x
  2. Step 2: Convert to fraction form
    2,700.84/3,956.34 = 3,956.34/x
  3. Step 3: Cross multiply
    2,700.84x = 3,956.34 × 3,956.34
  4. Step 4: Simplify right side
    2,700.84x = 15,652,655.87
  5. Step 5: Solve for x
    x = 15,652,655.87/2,700.84
  6. Step 6: Final answer
    x = 5,795.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.