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Finding the Third Proportional to 4,956.75 and 5,304.09

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Solution

The third proportional to 4,956.75 and 5,304.09 is: 5,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.75 : 5,304.09 = 5,304.09 : x
  2. Step 2: Convert to fraction form
    4,956.75/5,304.09 = 5,304.09/x
  3. Step 3: Cross multiply
    4,956.75x = 5,304.09 × 5,304.09
  4. Step 4: Simplify right side
    4,956.75x = 28,133,410.51
  5. Step 5: Solve for x
    x = 28,133,410.51/4,956.75
  6. Step 6: Final answer
    x = 5,675.78

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.